Question

If cos x = −1/4 and csc x < 0, find cot x/2

Answer 1

The value of cot x/2 is √3/√5.

What is Trigonometry?

Trigonometry, the branch of mathematics concerned with specific functions of angles and their application to calculations.

given:

cos x=-1/4

sin x= √15/4

cosec x= 4/√15

and, cot x= -1/√15

Now, cot x/2= cosec x+ cot x

= 4/√15-1/√15

= 3/√15

= √3/√5

Hence, the value of cot x/2 is  √3/√5.

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