Question

sin² 30 + sin² 60 = ?​

Answer 1

Step-by-step explanation:

= sin² 30 + sin² 60

= sin² 30 + cos² (90 - 60) (sin 60=cos (90-60), thus sin^2 60 = cos^2 (90-60))

= sin² 30 + cos² (30)

= 1. (sin² θ + cos² θ = 1, identity, θ = 30)

That's all.

Answer 2

Step-by-step explanation:

$( { \frac{1}{2} )}^{2} + ({ \frac{ \sqrt{3} }{2}) }^{2} \\ \frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1$

Please refer to trigonometry table in your textbook for better understanding and substitute value of sin²30° and value of sin²60° which is 1/2 and √3/2 respectively

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