Question

if sin theta=cos theta then find the value of theta
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Answer 1

Answer:

∅ = 45°

Step-by-step explanation:

We know that,

sin (90 - ∅) = cos ∅ and cos(90 - ∅) = sin ∅

Now A/Q

cos ∅ = sin ∅

sin (90 - ∅) = sin ∅

Cancelling out sine from both side,

90 - ∅ = ∅

⇒ 2∅ = 90

⇒ ∅ = 90/2 = 45°

Answer 2

sin θ = cos θ

sin θ/cos θ = 1

tan θ = 1

tan 45° = tan θ

θ = 45°