Question

If sinA-cosA=0, then find sin^4A+cos^4A

Answer 1

hence
sinA=cosA
sin45=cos45
A=45
sin45=1/√2
cos45=1/√2

hence
=1/4+1/4
=1/2

Answer 2

Answer:

1/2 is the Correct answer

Step-by-step explanation:

The sine function of an angle is the ratio between opposite side length to that of the hypotenuse.

Sin θ =Opposite/Hypotenuse

The Cos Function of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse

Cos θ = Adjacent/Hypotenuse

sinA−cosA=0

⇒A= cosA

⇒tanA=1

⇒A= π/4

​=> sin4A+cos4A=sin4 π/4 +cos4 π/4 =(1/ V2) ^4 + ( 1/ V2) ^4= 1/4+ 1/4= 2/4= 1/2

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