How Do You Solve Sec(-x)cot X?
Answer:
It is a question of trigonometric functions.
Sec(-x)cot X
since Secx= 1/Cos x
So,
Sec(-x)cot X= 1/ Cos(-x) Cot x
as Cos(-x)= Cosx, So
Sec(-x)cot X=1/Cosx Cotx
Put Cotx= Cos x/ Sinx, we get
Sec(-x)cot X= 1/Cosx * Cos x/ Sin x
Sec(-x)cot X=Cosx/ Cosx * 1/Sin x
Sec(-x)cot X= 1* 1/Sinx
Sec(-x)cot X= 1/ Sinx
we know that 1/ Sin x= Cosec x
So,
Sec(-x)cot X= Cosec x
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