Question

if sinA=cosA, then the value of sin^4A+cos^4A is ____________.

Answer 1

Answer:

sinA = cosA

sinA/cosA = 1

tanA = 1

As tan45° = 1, A = 45°

sin⁴45° + cos⁴45° = (1/√2)⁴ + (1/√2)⁴

= 1/4 + 1/4

= 2/4

= 1/2