Question

sin2 29 + sin 2 61 =?

Answer 1

Answer :

We should know a few trigonometric identity rules before solving the problem l.

Here, sin (90 - θ) = cosθ
cos (90 - θ) = sinθ

Now, sin²29 + sin²61

= (sin29)² + sin²61

= {sin (90 - 61)}² + sin²61

= (cos61)² + sin²61

= cos²61 + sin²61

= 1,

since sin²θ + cos²θ = 1

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Answer 2

sin² 29° + sin² 61


sin² (90 - 61) + sin² 61


we know, sin(90 - ∅) = cos ∅



cos² 61 + sin² 61


we know, sin²∅+cos²∅= 1

Hence,

cos²61 + sin² 61 = 1




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