Question

83. If sin A + sin^2 A= 1 (A is acute angle)
then the value of cos^2 A + cos^4A is :
A) 0
B) 1
C) 2
D) 3​

Answer 1

Answer:

B) 1

Step-by-step explanation:

sin A + sin² A = 1

sin A = 1 - sin² A

sin A = cos² A

Squaring on both sides

sin² A = ( cos² A)²

1 - cos² A = cos⁴ A

cos⁴ A + cos² A = 1

Identity used :

• 1 - sin² A = cos² A
• sin² A = 1 - cos² A

Answer 2

Answer:

this is a problem with the affected area of the affected area of the affected area