1.

cos 20°+cos 70°Find the value of sin59+ sin2 31°

Answer»

Value ofcos^2 20 + cos^2 70/sin^2 59 + sin^2 31

We knowsin^2 (90 - x) = cos^2 xcos^2 (90 - x) = sin^2 xSin^2 x + Cos^2 x = 1

Then,sin^2 (90 - 20) + cos^2 70/sin^2 59 + cos^2 (90 - 31)

= sin^2 70 + cos^2 70/ sin^2 59 + cos^2 59

= 1/1 = 1



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