cot theta-cosec theta is equal to -5 then find the value of tan theta
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⭐Solution⭐
➡Given here
let ,Theta = x
Cot X - Cosec X = -5...(1)
We know ,
Cosec ²X -Cot ²X = 1...(2)
or,
(Cosec x+Cot x)(CosecX -CotX )=1
Keep value by (1)
(Cosec X +Cot X )(5) = 1
(Cosec X +Cot X )= 1/5...(3)
Adding equations (1) + (3)
we get,
2 cot x= -5+1/5
= (-25+1)/5
= -24/5
cot x= -12/5
So,
we know
Tan x = 1/ Cot x
so,
Tan x = (-5/12)
✨Thats Answer✨
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