Evaluate 8/cot^2theta -8/cos^2 theta
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Answer: (-8)
Step-by-step explanation:
Let theta be β.
8/(cos^2 β/sin^2 β) - 8/cos^2 β (as cotβ=cosβ/sinβ)
=8sin^2 β/cos^2 β - 8/cos^2 β
=8(sin^2 β - 1)/cos^2β
=8(-cos^2 β)/(cos^2β) (because sin^2 + cos^2β=1)
=8(-1)
=(-8)
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