Question

if sin theta + cos theta= root 3 Then Prove that tan theta + cot theta =1​

Answer 1

Answer:

Step-by-step explanation:

Squaring of both sides, we get:

Using the formula

Applying formula in

1+2sinθcosθ=3

2sinθcosθ=2  

sinθcosθ=1  ______(1)

The value of the

is sinθcosθ=1  

To prove:

tanθ+cotθ=1  

L.H.S  

tanθ+cotθ

Transforming the identity of tanθ  ; cotθ into  ;

Substituting equation (1) we get  

tanθ+cotθ=1=R.H.S

∴L.H.S=R.H.S

Hence proved

∴If  then   .

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