Question 140

If 2 sin θ cos θ = 1, then the value of tan θ + cot θ is

Solution

It is given that 2 sin θ cos θ = 1

we know that (sinθ)^2 + (cos θ ) ^2 = 1

so , 2 sin θ cos θ = (sin θ)^2 + (cos θ )^2........(1)

Dividing the whole equation 1 by sin θ cos θ, we get

2 = (sinθ)/(cosθ) + (cosθ)/(sinθ)

tan θ + cot θ = 2

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