Question

find the value of sin square 5 + sin square 10 + sin square 80 + sin square 85... hint = sin square 80 is equal to sin square 90 minus 10 is equal to cos square 10 . sin square 85 is equal to sin square 90 minus 5 is equal to cos square 5. the answer is two

Answer 1

sin²5+sin²10+sin²80+sin²85
= sin²5+cos²5+sin²80+cos²80
=1+1=2

Answer 2

sin^2 5+ sin^2 10+sin^2 80 +sin^2 85
=sin^2 5 +sin^2 10+ cos^2 10+cos^2 5(as sin(90-x)=cosx
=1+1
=2