If cosx=3/5, then the value of cotx+cosecx is
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Step-by-step explanation:
Given : cosec x - cot x =
3
1
.......... (1)
We know, cosec
2
x−cot
2
x=1
⟹ (cosec x - cot x)(cosec x + cot x) =1
⟹
3
1
(cosec x + cot x) =1
⟹ cosec x + cot x =3 ............ (2)
Solving (1) and (2) we get,
cosec x =
6
10 = 3 5 and cot x = 3 4
∴ sinx= 53cosec x
cot x = 54
∴ cosx= 54
∴ cos
2 x−sin 2 x=( 25 16 )−( 25 9 )= 25 7
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