Question

The value of sin Square 21 + sin Sqare 69 is

Answer 1

Step-by-step explanation:

sin square 21 + sin square(90-21)

=sin square 21 + cos square 21 [sin (90-A)=cosA]

=1 [sin square A + cos square A =1]

I hope this will help you

Answer 2

The value of (sin²21° + sin²69°) is 1

Given : The given trigonometric expression is (sin²21° + sin²69°) is

To find : The value of the given trigonometric expression.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given trigonometric expression)

Here, we will be using general trigonometric formulas.

Now,

= (sin²21° + sin²69°)

= sin²21° + [sin (90°-21°)]²

= sin²21° + (cos 21°)²

= sin² 21° + cos²21°

= 1

(This will be considered as the final result.)

Used formula :

• cos x° = sin (90° - x°)
• sin²x° + cos²x° = 1

Hence, the value of (sin²21° + sin²69°) is 1