Question

plz answer this simple que of trignometry

Answer 1

$\huge\red{Heya}$

$\textbf{Given :-}$

Here theta = A

sin A + sin² A = 1
sin A = 1 - sin² A ...........(1)

Using formula,

sin² A + cos² A = 1

So,

cos² A = 1 - sin² A ........(2)

Putting eq (2) in eq (1) , we get

sin A = cos² A .............(3)

Squaring both sides of eq (3)

(sin A)² = (cos² A)²

sin² A = cos⁴ A ................(4)

Now,

$\textbf{To find :-}$

cos² A + cos⁴ A

= sin A + sin² A [Using eq (3) and (4)]

= 1

The answer is 1.

$\textbf{Hope this helps you.}$

Answer 2

$\textit {Ello!!}$

Here's your answer

Please see the attachment carefully!!

$\red {Hope it helps you dear!!}$