Math, asked by aaryankhera, 7 months ago

sinθ/catθ+cosecθ-sinθ/catθ-cosecθ=2​

Answers

Answered by san5294
0

Answer:

sorry dude please check your question and post the right one

Answered by ys267449
1

Answer:

Step-by-step explanation:

Given:- sinθ+cosθ=  

2

​  

cosθ

To prove:- cosθ+sinθ=  

2

​  

sinθ

Proof:-

sinθ+cosθ=  

2

​  

cosθ

Squaring both sides, we get

sin  

2

θ+cos  

2

θ+2sinθcosθ=2cos  

2

θ

⇒sin  

2

θ−cos  

2

θ+2sinθcosθ=0

Subtracting 2sin  

2

θ both sides, we have

−sin  

2

θ−cos  

2

θ+2sinθcosθ=−2sin  

2

θ

sin  

2

θ+cos  

2

θ−2sinθcosθ=2sin  

2

θ

(cosθ−sinθ)  

2

=2sin  

2

θ

⇒cosθ−sinθ=  

2

​  

sinθ

Hence proved.

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