If sinA-cosA=0,then the value of sin⁴A+cos⁴A is
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Answer:
Given that,
sinA - cosA = 0
⇒ sinA = cosA
⇒ sinA/cosA = 1
⇒ tanA = 1
⇒ tanA = tan45°
⇒ A = 45°
∴ sin⁴A + cos⁴A
= sin⁴45° + cos⁴45°
= (1/√2)⁴ + (1/√2)⁴
= 1/4 + 1/4
= 2/4
= 1/2
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