trigonometric-functions se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
658 questions tagged with trigonometric-functions.
Convert \(23.75^\circ\) into degrees and minutes.
B. \(23^\circ 45'\)
\(0.75^\circ\times 60'=45'\) इसलिए \(23.75^\circ=23^\circ 45'\) है। दशमलव भाग को (60) से गुणा करें। / \(0.75^\circ\times 60'=45'\) so \(23.75^\circ=23^\circ 45'\). Multiply the decimal part by (60).
Login to save your score, XP, coins and progress.
Write \(42^\circ 15'\) in decimal degrees.
C. \(42.25^\circ\)
\(15'=\frac{15}{60}^\circ=0.25^\circ\) इसलिए \(42^\circ 15'=42.25^\circ\) है। मिनट को सीधे दशमलव न लिखें। / \(15'=\frac{15}{60}^\circ=0.25^\circ\) so \(42^\circ 15'=42.25^\circ\). Do not write minutes directly as decimals.
Login to save your score, XP, coins and progress.
What is \(18^\circ 30'\) in decimal degrees?
B. \(18.5^\circ\)
\(30'=\frac{30}{60}^\circ=0.5^\circ\) इसलिए कुल \(18.5^\circ\) है। मिनट को डिग्री में बदलने के लिए (60) से भाग दें। / \(30'=\frac{30}{60}^\circ=0.5^\circ\) so the total is \(18.5^\circ\). Divide minutes by (60) to convert them into degrees.
Login to save your score, XP, coins and progress.
On which axis does the terminal side of \( -90^\circ \) lie?
A. ऋणात्मक (y)-अक्षNegative (y)-axis
\( -90^\circ \) दक्षिणावर्त घूमने पर ऋणात्मक (y)-अक्ष पर पहुंचता है। ऋणात्मक दिशा को ध्यान से देखें। / \( -90^\circ \) reaches the negative (y)-axis by clockwise rotation. Watch the negative direction carefully.
Login to save your score, XP, coins and progress.
On which axis will the terminal side of \(540^\circ\) lie?
D. ऋणात्मक (x)-अक्षNegative (x)-axis
\(540^\circ-360^\circ=180^\circ\) है इसलिए अंतिम भुजा ऋणात्मक (x)-अक्ष पर है। पहले सहसमापी कोण निकालें। / \(540^\circ-360^\circ=180^\circ\) so the terminal side lies on the negative (x)-axis. First find the coterminal angle.
Login to save your score, XP, coins and progress.
If the terminal side lies on the negative (x)-axis then which can be one measure of the angle?
C. \(180^\circ\)
ऋणात्मक (x)-अक्ष पर अंतिम भुजा \(180^\circ\) पर होती है। अक्षीय कोणों को चतुर्थांश में नहीं गिनते। / The terminal side lies on the negative (x)-axis at \(180^\circ\). Axis angles are not counted in quadrants.
Login to save your score, XP, coins and progress.
If \( \theta=135^\circ \) then between which two standard angles does \( \theta \) lie?
B. \(90^\circ\) और \(180^\circ\)\(90^\circ\) and \(180^\circ\)
\(135^\circ\) \(90^\circ\) और \(180^\circ\) के बीच है। यही द्वितीय चतुर्थांश की सीमा है। / \(135^\circ\) lies between \(90^\circ\) and \(180^\circ\). This is the interval of the second quadrant.
Login to save your score, XP, coins and progress.
When (2.5) radians is approximately converted into degrees which value is nearest?
A. \(143.2^\circ\)
\(2.5\times 57.3^\circ\approx 143.25^\circ\) है। (1) रेडियन को \(57.3^\circ\) मानकर अनुमान करें। / \(2.5\times 57.3^\circ\approx 143.25^\circ\). Estimate by taking (1) radian as \(57.3^\circ\).
Login to save your score, XP, coins and progress.
If (1) radian is written approximately in degrees then which is the nearest correct value?
D. \(57.3^\circ\)
(1) रेडियन \( \frac{180^\circ}{\pi} \approx 57.3^\circ \) होता है। अनुमान में \( \pi\approx 3.14 \) लें। / (1) radian is \( \frac{180^\circ}{\pi} \approx 57.3^\circ \). Use \( \pi\approx 3.14 \) for approximation.
Login to save your score, XP, coins and progress.
In which quadrant is the terminal side of \( \frac{11\pi}{10} \) radians?
C. तृतीय चतुर्थांशThird quadrant
\( \frac{11\pi}{10}=198^\circ \) है इसलिए यह तृतीय चतुर्थांश में है। \(180^\circ\) और \(270^\circ\) के बीच तीसरा चतुर्थांश होता है। / \( \frac{11\pi}{10}=198^\circ \) so it is in the third quadrant. The interval between \(180^\circ\) and \(270^\circ\) is the third quadrant.
Login to save your score, XP, coins and progress.
In which quadrant is \( \frac{7\pi}{10} \) radians?
B. द्वितीय चतुर्थांशSecond quadrant
\( \frac{7\pi}{10}=126^\circ \) है और यह \(90^\circ\) से \(180^\circ\) के बीच है। चतुर्थांश के लिए कोण की सीमा देखें। / \( \frac{7\pi}{10}=126^\circ \) and it lies between \(90^\circ\) and \(180^\circ\). Check the interval to decide the quadrant.
Login to save your score, XP, coins and progress.
In which quadrant does \( \frac{8\pi}{5} \) radians lie?
D. चतुर्थ चतुर्थांशFourth quadrant
\( \frac{8\pi}{5}=288^\circ \) है इसलिए यह चतुर्थ चतुर्थांश में है। रेडियन कोण को जरूरत होने पर डिग्री में बदलें। / \( \frac{8\pi}{5}=288^\circ \) so it lies in the fourth quadrant. Convert radians to degrees when needed.
Login to save your score, XP, coins and progress.
\( -310^\circ \) is coterminal with an angle in which quadrant?
A. प्रथम चतुर्थांशFirst quadrant
\( -310^\circ+360^\circ=50^\circ \) है और \(50^\circ\) प्रथम चतुर्थांश में है। सहसमापी कोण से चतुर्थांश आसानी से मिलता है। / \( -310^\circ+360^\circ=50^\circ \) and \(50^\circ\) lies in the first quadrant. The coterminal angle gives the quadrant easily.
Login to save your score, XP, coins and progress.
In which quadrant will the terminal side of \( -220^\circ \) lie?
B. द्वितीय चतुर्थांशSecond quadrant
\( -220^\circ+360^\circ=140^\circ \) और \(140^\circ\) द्वितीय चतुर्थांश में है। ऋणात्मक कोण को पहले धनात्मक सहसमापी कोण में बदलें। / \( -220^\circ+360^\circ=140^\circ \) and \(140^\circ\) lies in the second quadrant. First convert a negative angle to a positive coterminal angle.
Login to save your score, XP, coins and progress.
Which statement about \(725^\circ\) and \(5^\circ\) is correct?
B. वे सहसमापी कोण हैंThey are coterminal angles
\(725^\circ-5^\circ=720^\circ=2\times 360^\circ\) इसलिए वे सहसमापी हैं। अंतर \(360^\circ\) का गुणज हो तो कोण सहसमापी होते हैं। / \(725^\circ-5^\circ=720^\circ=2\times 360^\circ\) so they are coterminal. If the difference is a multiple of \(360^\circ\) the angles are coterminal.
Login to save your score, XP, coins and progress.
What will be the angle between (0) and \(2\pi\) for \( -\frac{11\pi}{3} \)?
A. \( \frac{\pi}{3} \)
\( -\frac{11\pi}{3}+\frac{12\pi}{3}=\frac{\pi}{3} \) होता है। हर समान रखकर \(2\pi\) जोड़ना आसान है। / \( -\frac{11\pi}{3}+\frac{12\pi}{3}=\frac{\pi}{3} \). Keeping the same denominator makes adding \(2\pi\) easy.
Login to save your score, XP, coins and progress.
Which is the principal coterminal angle of \( \frac{14\pi}{3} \)?
C. \( \frac{2\pi}{3} \)
\( \frac{14\pi}{3}-\frac{12\pi}{3}=\frac{2\pi}{3} \) है। \(2\pi=\frac{6\pi}{3}\) लिखकर घटाएं। / \( \frac{14\pi}{3}-\frac{12\pi}{3}=\frac{2\pi}{3} \). Write \(2\pi=\frac{6\pi}{3}\) and subtract.
Login to save your score, XP, coins and progress.
What is the coterminal angle of \( -\frac{17\pi}{4} \) between (0) and \(2\pi\)?
B. \( \frac{7\pi}{4} \)
\( -\frac{17\pi}{4}+\frac{24\pi}{4}=\frac{7\pi}{4} \) है। ऋणात्मक रेडियन कोण में \(2\pi\) के गुणज जोड़ें। / \( -\frac{17\pi}{4}+\frac{24\pi}{4}=\frac{7\pi}{4} \). Add multiples of \(2\pi\) to a negative radian angle.
Login to save your score, XP, coins and progress.
What is the coterminal angle of \( \frac{25\pi}{6} \) between (0) and \(2\pi\)?
A. \( \frac{\pi}{6} \)
\( \frac{25\pi}{6}-\frac{24\pi}{6}=\frac{\pi}{6} \) है। रेडियन में \(2\pi\) घटाकर मुख्य कोण निकालें। / \( \frac{25\pi}{6}-\frac{24\pi}{6}=\frac{\pi}{6} \). Subtract \(2\pi\) in radians to find the principal angle.
Login to save your score, XP, coins and progress.
What will be the principal coterminal angle of \( -1020^\circ \)?
D. \(60^\circ\)
\( -1020^\circ+1080^\circ=60^\circ \) है। ऋणात्मक बड़े कोणों में \(360^\circ\) के उचित गुणज जोड़ें। / \( -1020^\circ+1080^\circ=60^\circ \). Add a suitable multiple of \(360^\circ\) for large negative angles.
Login to save your score, XP, coins and progress.
What is the principal coterminal angle of \(1125^\circ\)?
C. \(45^\circ\)
\(1125^\circ-1080^\circ=45^\circ\) है। मुख्य कोण के लिए \(0^\circ\) से \(360^\circ\) की सीमा लें। / \(1125^\circ-1080^\circ=45^\circ\). For the principal angle use the range from \(0^\circ\) to \(360^\circ\).
Login to save your score, XP, coins and progress.
Which is the positive coterminal angle of \( -780^\circ \)?
B. \(300^\circ\)
\( -780^\circ+1080^\circ=300^\circ \) होता है। \(360^\circ\) बार-बार जोड़कर धनात्मक मान पाएं। / \( -780^\circ+1080^\circ=300^\circ \). Add \(360^\circ\) repeatedly to get a positive value.
Login to save your score, XP, coins and progress.
What is the coterminal angle of \(840^\circ\) between \(0^\circ\) and \(360^\circ\)?
D. \(120^\circ\)
\(840^\circ-720^\circ=120^\circ\) है। बड़े कोण से \(360^\circ\) के गुणज घटाएं। / \(840^\circ-720^\circ=120^\circ\). Subtract multiples of \(360^\circ\) from a large angle.
Login to save your score, XP, coins and progress.
Convert \( \frac{23\pi}{12} \) radians into degrees.
C. \(345^\circ\)
\( \frac{23\pi}{12}=23\times 15^\circ=345^\circ\) होता है। \(360^\circ\) के पास वाले मानों में सावधानी रखें। / \( \frac{23\pi}{12}=23\times 15^\circ=345^\circ\). Be careful with values close to \(360^\circ\).
Login to save your score, XP, coins and progress.
How many degrees are \( \frac{19\pi}{12} \) radians?
B. \(285^\circ\)
\( \frac{19\pi}{12}\times \frac{180^\circ}{\pi}=285^\circ\) है। हर (12) हो तो \(15^\circ\) से गुणा करें। / \( \frac{19\pi}{12}\times \frac{180^\circ}{\pi}=285^\circ\). If the denominator is (12) multiply the numerator by \(15^\circ\).
Login to save your score, XP, coins and progress.
Which is the degree measure of \( \frac{17\pi}{12} \) radians?
A. \(255^\circ\)
\( \frac{17\pi}{12}=17\times 15^\circ=255^\circ\) है। \( \frac{\pi}{12} \) को \(15^\circ\) मानकर जल्दी हल करें। / \( \frac{17\pi}{12}=17\times 15^\circ=255^\circ\). Take \( \frac{\pi}{12}=15^\circ\) for a quick solution.
Login to save your score, XP, coins and progress.
What is obtained by converting \( \frac{13\pi}{12} \) radians into degrees?
D. \(195^\circ\)
\( \frac{13\pi}{12}\times \frac{180^\circ}{\pi}=195^\circ\) होता है। \( \frac{\pi}{12}=15^\circ\) याद रखें। / \( \frac{13\pi}{12}\times \frac{180^\circ}{\pi}=195^\circ\). Remember \( \frac{\pi}{12}=15^\circ\).
Login to save your score, XP, coins and progress.
What is the degree measure of \( \frac{11\pi}{12} \) radians?
C. \(165^\circ\)
\( \frac{11\pi}{12}\times \frac{180^\circ}{\pi}=165^\circ\) है। पहले \(180^\circ\div 12\) करें। / \( \frac{11\pi}{12}\times \frac{180^\circ}{\pi}=165^\circ\). First calculate \(180^\circ\div 12\).
Login to save your score, XP, coins and progress.
How many degrees are equal to \( \frac{7\pi}{12} \) radians?
B. \(105^\circ\)
\( \frac{7\pi}{12}=\frac{7\times 180^\circ}{12}=105^\circ\) होता है। रेडियन से डिग्री में \( \frac{180^\circ}{\pi} \) लगाएं। / \( \frac{7\pi}{12}=\frac{7\times 180^\circ}{12}=105^\circ\). Use \( \frac{180^\circ}{\pi} \) for radians to degrees.
Login to save your score, XP, coins and progress.
Convert \( \frac{5\pi}{12} \) radians into degrees.
A. \(75^\circ\)
\( \frac{5\pi}{12}\times \frac{180^\circ}{\pi}=75^\circ\) है। \( \pi \) कटाकर \(180^\circ\) को हर से भाग दें। / \( \frac{5\pi}{12}\times \frac{180^\circ}{\pi}=75^\circ\). Cancel \( \pi \) and divide \(180^\circ\) by the denominator.
Login to save your score, XP, coins and progress.
Use Google login or mobile OTP. Admin can block users and control login providers.