if sin a - cos a = 0 then value of expression sin^4 a + cos^4 a is
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Step-by-step explanation:
Solution
From the above equation, we get
cosθ=sinθ
Hence
θ=45
0
Therefore
sin
4
θ+cos
4
θ
=sin
4
45
0
+cos
4
45
0
=2×(
2
1
)
4
=2×
4
1
=
2
1
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