Question

If cos theta=3/5 find the value of 2cosec theta/1+cotsquare theta

Answer 1

Hey dear friend

Given-:Cos theta=3/5

To Find-:
Value of 2cosec theta/1+cot²theta

Solution-:

=>2cosec theta/cosec² theta
[By id. 1+cot²theta=cosec² theta]

=> 2/cosec theta

Cosec= H/P
By Pythagoras Theorem

H²=P²+B²
5²=P²+3²
25=P²+9
P²=16
P=4

So, 2/Cosec=2/5/4
=>8/5

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