Question

if sinA+ sin^2A=1,then find the value of the expression (cos^2A+ cas^4 A).​

Answer 1

Answer:

sinA + sin²A = 1

=> sinA = 1 - sin²A

=> sinA = cos ²A

on squaring both sides

=> sin²A = cos⁴A

=> 1 - cos²A = cos⁴A

=> 1 = cos²A + cos⁴A

or

cos²A + cos⁴A = 1