Question

if sin A + sin^2 A = 1 then find the value of cos^2 A+cos^4 A= pls dont give the wrong answers

Answer 1

Hola mate! Here is your answer:

Given:

$sin \: a + {sin}^{2} a = 1$

To find:

${cos}^{2} + {cos}^{4} a$

Solution:

$sin \: a = 1 - {sin}^{2} a$

$sin \: a = {cos}^{2}$

Squaring both sides

${sin}^{2} a = {cos}^{4} a$

Replacing Cos^4 a and cos^2A in Question we get

${cos}^{2} + {sin}^{2}$

=1

=1Thus cos^2A+cos^4A=1