Question

If sin A - Cos A=0,find the value of sin^4 A + cos^4 A.​

Answer 1

Answer:

sinA−cosA=0

⇒A=cosA

⇒tanA=1

⇒A=

4

π

sin

4

A+cos

4

A=sin

4

4

π

+cos

4

4

π

=(

2

1

)

4

+(

2

1

)

4

=

4

1

+

4

1

=

2

1

.

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