Question

sinθ = cosθ for all value of θ.State whether the given statement is true or false. Justify your answer.

Answer 1

It is a false statement as if we take values 0 deg , 90 deg or 180 deg the values of cos A = sin A. For eg cos(0) = 1 and sin(0) = 0 and here sin(0) = cos(0).

Answer 2

Given statement ,

" sin theta = cos theta for all values

of theta " is False .

Explanation :

if theta = 30°

sin 30° = 1/2

cos 30° = √3/2

Therefore ,

sin 30° ≠ cos 30°

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