If \(f(\theta)=\sin \theta+\cos \theta\), then \(f\left(\frac{\pi}{2}-\theta\right)\) is equal to what?
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Answer and explanation
Correct answer: \(\sin \theta+\cos \theta\)
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.
Frequently asked questions
What is the correct answer to this question?
\(\sin \theta+\cos \theta\)
Why is this the correct answer?
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.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Trigonometric functions and their properties.
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