Math, asked by madhubalasingh9278, 1 year ago

If cosec theta-sin theta=4 then sin^2theta+cosec^2theta=

Answers

Answered by Anonymous
10
Hi Mate!!!

Squaring both sided

{Cosec ( x ) - Sin ( x ) }² = 16

=>. Sin² ( x ) + Cosec² ( x ) = 16 +2

=>. Sin² ( x ) + Cosec ² ( x ) = 18


Have a nice time
Answered by jaaywithaay
0

Step-by-step explanation:

Answer

Given sinθ+cosecθ=2

⟹sinθ+sinθ1=2

squaring on both sides 

(sinθ+sinθ1)2=4

⟹sin2θ+sin2θ1+2(sinθ)(sinθ1)=4

⟹sin2θ+sin2θ1+2=4

⟹sin2θ+sin2θ1=2

⟹sin2θ+cosec2θ=2

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