what is the value of (sec q-cos q)(cot q+ tan q)
It will be okay without explanation
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Answer:
the value of sec q-cosq = 1
cot q + tan q =1
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Answer:
Proved, LHS=RHS
Step-by-step explanation:
cot q + tan q = sec q cosec q
RHS =
= sec q cosec q
= ( 1 / cos q ) * ( 1 / sin q )
= 1 / cos q sin q
= ( sin^2 q + cos^2 q ) / cos q sin q ( because sin^2 q + cos^2 q = 1 )
= ( sin^2 q / cos q sin q ) + ( cos^2 q / cos q sin q )
= ( sin q / cos q ) + ( cos q / sin q )
= tan q + cot q
= LHS
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