Question

find the value of theta if sin theta =cos theta​

Answer 1

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Sin is negative in 3rd and 4th quadrant

Sin π/6 = 1/2

Value in 3rd quadrant

π+π/6

= 7π/6 = 210°

Value in 4th quadrant

2π - π/6

= 11π/6 = 330°

So the values are 210° and 330°

Answer 2

For θ=45°,sinθ&cosθ
⇒sinθ=cosθ
⇒tanθ=1
⇒tanθ=tan45
0

⇒θ=45