trigonometry angles reference hard class11 se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
7 questions tagged with trigonometry angles reference hard class11.
A. \(\frac{8\pi}{9}\)
दूसरे चतुर्थांश में कोण \(\pi-\alpha\) होता है। इसलिए \(\pi-\frac{\pi}{9}=\frac{8\pi}{9}\)। / In the second quadrant, the angle is \(\pi-\alpha\). Hence \(\pi-\frac{\pi}{9}=\frac{8\pi}{9}\).
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If \(\theta=\frac{17\pi}{12}\), what is the reference angle of \(\theta\)?
B. \(\frac{5\pi}{12}\)
\(\frac{17\pi}{12}\) तीसरे चतुर्थांश में है, इसलिए संदर्भ कोण \(\frac{17\pi}{12}-\pi=\frac{5\pi}{12}\)। परीक्षा में तीसरे चतुर्थांश में \(\theta-\pi\) लें। / \(\frac{17\pi}{12}\) is in the third quadrant, so the reference angle is \(\frac{17\pi}{12}-\pi=\frac{5\pi}{12}\). In exams, use \(\theta-\pi\) in the third quadrant.
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If \(\theta=1560^\circ\), what is the reference angle of \(\theta\)?
D. \(120^\circ\)
\(1560^\circ-1440^\circ=120^\circ\), जो दूसरे चतुर्थांश में है। संदर्भ कोण \(180^\circ-120^\circ=60^\circ\), इसलिए सही मान \(60^\circ\) है। / \(1560^\circ-1440^\circ=120^\circ\), which lies in the second quadrant. The reference angle is \(180^\circ-120^\circ=60^\circ\).
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If an angle measures \(\frac{37\pi}{6}\), what is its reference angle?
A. \(\frac{\pi}{6}\)
\(\frac{37\pi}{6}-6\pi=\frac{\pi}{6}\), जो पहले चतुर्थांश में है। पहले चतुर्थांश में संदर्भ कोण वही होता है। / \(\frac{37\pi}{6}-6\pi=\frac{\pi}{6}\), which lies in the first quadrant. In the first quadrant, the reference angle is the angle itself.
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If \(\theta=\frac{29\pi}{8}\), what is the reference angle of \(\theta\)?
B. \(\frac{3\pi}{8}\)
\(\frac{29\pi}{8}-2\pi=\frac{13\pi}{8}\), जो तीसरे चतुर्थांश में है। संदर्भ कोण \(\frac{13\pi}{8}-\pi=\frac{5\pi}{8}\) नहीं, सही गणना से अक्ष दूरी \(\frac{3\pi}{8}\) है। / \(\frac{29\pi}{8}-2\pi=\frac{13\pi}{8}\), which lies in the fourth quadrant? The reference angle is \(\frac{3\pi}{8}\). In exams, reduce first and then find the distance from the nearest (x)-axis.
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C. \(338^\circ\)
चौथे चतुर्थांश में मुख्य कोण \(360^\circ-\alpha\) होता है। परीक्षा में संदर्भ कोण को अक्ष से दूरी मानें। / In the fourth quadrant, the principal angle is \(360^\circ-\alpha\). In exams, treat the reference angle as the distance from the axis.
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B. \(215^\circ\)
तीसरे चतुर्थांश में कोण \(180^\circ+\alpha\) होता है। इसलिए \(180^\circ+35^\circ=215^\circ\)। / In the third quadrant, the angle is \(180^\circ+\alpha\). So \(180^\circ+35^\circ=215^\circ\).
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