Question

if sin theta =cos theta then the value of acute angle theta is​

Answer 1

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Answer 2

Given : sin θ = cos θ

To find : The value of acute angle θ

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of θ)

Here, we will be using general trigonometric identities.

So,

sin θ = cos θ

sin θ / cos θ = 1

tan θ = 1

tan θ = tan 45°

Which implies,

θ = 45°

Now, 45° is also an acute angle. That's why, we can consider it as the final result of the given mathematical problem.

Hence, value of acute angle θ is 45°