Question

if sinA- cosA =0 ,then the value of sin⁴A +cos⁴A is ?
(a)2
(b)1
(c)3/4
(d)1/2​

Answer 1

Answer:

the answer is 1/ 2

Step-by-step explanation:

Given that,

sin A - cos A = 0

=> sin A = cos A

=>sin A\cos A = 1

=>tan=1

tan A = tan 45°

A= 45°

...sin ^4 A +cos ^4 4

= sin ^4 45°+cos ^4 45°

= (1/√2)^4 + (1/√2)^4

=1/4+1/4

=2/4

=1/2

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