Question

if theta equals to 30 degree find sin 15 degree

Answer 1

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Answer 2

First of all we know that ,

sinθ=√(1+cos2θ)/2

now

sin15

=√(1-cos30/2)

=√(1-√3/2)/2

=√2-√3/4

=√(2-√3/4)

=(√2-√3)/√4

=[ √(2-√3)] /2

✖ multiplying numerator and denominator by √2
we get

= [ √( 4-√6) ] /2√2

=√(√3-1)²/2√2

=√3-1/2√2