Question 105

If tan $$\theta$$ + cot $$\theta$$ = 2 then the value of $$\theta$$ is

Solution

given that tan $$\theta$$ + cot $$\theta$$ = 2

$$\frac{sin \theta}{cos \theta}$$ + $$\frac{cos \theta}{sin \theta}$$ = 2

$$sin^2 \theta + cos^2 \theta$$ = 2 $$sin \theta cos \theta $$

$$sin 2\theta$$ = 1

it implies , $$2\theta$$ = 90

$$\theta$$ = 45

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