Question

prove that cot theta = cos theta /tan theta​

Answer 1

Answer:

Step-by-step explanation:

L.H.S=cotθ−tanθ

=  

sinθ

cosθ

​  

−  

cosθ

sinθ

​  

 

=  

sinθcosθ

cos  

2

θ−sin  

2

θ

​  

 

=  

sinθcosθ

cos  

2

θ−(1−cos  

2

θ)

​  

 

=  

sinθcosθ

cos  

2

θ−1+cos  

2

θ

​  

 

=  

sincosθ

2cos  

2

θ−1

​  

=R.H.S

Hence,

cotθ−tanθ=  

sincosθ

2cos  

2

θ−1

​  

proved.

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