If (\sin \theta=\cos \theta) and (0<\theta<\frac{\pi}{2}), what is the value of (\theta)?
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Answer and explanation
Correct answer: (\frac{\pi}{4})
From ( \sin \theta=\cos \theta), ( \tan \theta=1), and in the first quadrant ( \theta=\frac{\pi}{4}). In exams divide by ( \cos \theta) only when it is nonzero.
Frequently asked questions
What is the correct answer to this question?
(\frac{\pi}{4})
Why is this the correct answer?
From ( \sin \theta=\cos \theta), ( \tan \theta=1), and in the first quadrant ( \theta=\frac{\pi}{4}). In exams divide by ( \cos \theta) only when it is nonzero.
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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