Question

cos 60°=cos^230°-sin ^2theta then theta =___​

Answer 1

sin

2

60°+cos

2

60°=(

2

3

)

2

+(

2

1

)

2

⇒

4

3

+

4

1

=

4

4

=1

∴sin

2

45°+cos

2

45°=(

2

1

)

2

+(

2

1

)

2

=

2

1

+

2

1

=1

∴sin

2

60°+cos

2

60°=sin

2

45°+cos

2

45°

Hence, the answer is sin

2

45°+cos

2

45°