Question

prove: cos^2(π/8+θ/2) - cos^2(π/8-θ/2) = -1/√2 sinθ

Answer 1

Answer:

According to the problem:

2+

2+

2+2cos8θ

implies that,

=

2+

2+

2+(1+cos8θ)

implies that,

=

2+

2+

(4cos

2

4θ)

implies that,

=

2+

2+2cos4θ

implies that,

=

2+(2

1+cos4θ

)

implies that,

=

(2+

4cos

2

2θ

)

implies that,

=

2(1+cos2θ)

implies that,

=

4cos

2

θ

Hence the result will be,

=2cosθ