0 reads0 ratings0 helpful
What is the simplified value of (\cos^2 x(1+\tan^2 x))?(\cos^2 x(1+\tan^2 x)) का सरल मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(1\)\(1\)
Using the identity \(1+\tan^2 x=\sec^2 x\), the expression becomes \(\cos^2 x\sec^2 x\). Since \(\sec^2 x=1/\cos^2 x\), its value is \(1\). \(\sec^2 x\) is only the value of the bracketed part, not of the complete expression. Exam tip: When you see \(1+\tan^2 x\), replace it with \(\sec^2 x\).पहचान \(1+\tan^2 x=\sec^2 x\) का प्रयोग करने पर दिया गया व्यंजक \(\cos^2 x\sec^2 x\) बनता है। क्योंकि \(\sec^2 x=1/\cos^2 x\), इसलिए इसका मान \(1\) है। \(\sec^2 x\) केवल कोष्ठक वाले भाग का मान है, पूरे व्यंजक का नहीं। परीक्षा टिप: \(1+\tan^2 x\) दिखते ही इसे \(\sec^2 x\) से बदलें।
Student feedback
Was this question useful?
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Difficulty
Easy0%
Medium0%
Hard0%
Was the explanation clear?
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
