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If \(f(\theta)=\sin \theta+\cos \theta\), then \(f\left(\frac{\pi}{2}-\theta\right)\) is equal to what?यदि \(f(\theta)=\sin \theta+\cos \theta\) है, तो \(f\left(\frac{\pi}{2}-\theta\right)\) किसके बराबर होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\sin \theta+\cos \theta\)\(\sin \theta+\cos \theta\)
Because for complementary angles \( \sin\left(\frac{\pi}{2}-\theta\right)=\cos \theta\) and \( \cos\left(\frac{\pi}{2}-\theta\right)=\sin \theta\). In exams remember co-function formulas.क्योंकि पूरक कोणों में \(\sin\left(\frac{\pi}{2}-\theta\right)=\cos \theta\) और \(\cos\left(\frac{\pi}{2}-\theta\right)=\sin \theta\) होता है। परीक्षा में co-function सूत्र याद रखें।
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