Question

what is sin^2(45)+sin^2(15) ?

Answer 1

ANSWER

4-√3

4

CONCEPT

sin(x-y) = sinxcosy- cosxsiny

SOLUTION

sin(45-30) = sin45cos30 - cos45sin30

sin(15) = √3-1

2√2

sin^2x = 2-√3

4

SIN^45 + SIN^15 = 1/2 + 2-√3

. 4

= 4 -√3

4

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