Question

The value of sin² 29° + sin² 61° is

Options

• 1

• 0

•  2 sin² 29°

• 2 cos² 61° 

   

Answer 1

The given expression is `sin^29°+sin^2 61°`

`sin^2 29°+sin^2 61°`. 

=` sin^2 29°+(sin 61°)^2` 

`= sin^2 29°+{sin(90°-29°)}^2`

`=sin^2 29°+(cos 29°)^2` 

`= sin^2 29°+cos^2°29°` 

`= 1`