# If sin A + sin² A =1:

If sin A + sin² A =1, then the value of cos² A + cos^{4 }A is

- 3/2
- 1
- 2
- 5/3

**Answer is (2) 1**

**Explanation:- **Sin A + Sin

^{2}A = 1

Sin A = 1 – Sin

^{2}A

Sin A = Cos

^{2}A

Cos^{2}A + (Cos^{2}A)^{2}

Put the value of Cos^{2}A = Sin A

Then, Cos^{2} A + Sin^{2}A = 1

Hence, the answer is (2) 1