if sinA- cosA =0 ,then the value of sin⁴A +cos⁴A is ?
(a)2
(b)1
(c)3/4
(d)1/2
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5
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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