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Question

If sinθcosθ=0, find the value of sec4θ+cosec4θ.


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Solution

sinθcosθ=0

sinθ=cosθ

sinθcosθ=1tanθ=1
θ=45

Now, sec4θ+cosec4θ

=sec445+cosec45

=(2)4+(2)4

=4+4=8


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