Question

find the value of 2 sin^2 25 + 2 sin^2 65

Answer 1

Answer:2

Step-by-step explanation:

2(sin²25+sin²65) =2(sin²25+cos²25) =2×1=2

Answer 2

Answer:

2

Step-by-step explanation:

We know that sin(90-theta)=cos(theta), cos(90-theta)=sin(theta)

sin(90-65)=cos(25)

so applying the above formula we get,

=2 sin^2 25 + 2 sin^2 65

=2 sin^2 25 + 2 cos^2 25

=2(sin^25+cos^25)                       since (cos^2(theta)+ sin^2(theta)=1

=2