Question 96

If Cos θ = 15/17 , then what is the value of Cosec θ?

Solution

Given : $$cos\theta=\frac{15}{17}$$

Using, $$sin^2\theta+cos^2\theta=1$$

=> $$sin^2\theta=1-(\frac{15}{17})^2$$

=> $$sin^2\theta=1-\frac{225}{289}=\frac{64}{289}$$

=> $$sin\theta=\sqrt{\frac{64}{289}}=\frac{8}{17}$$

$$\therefore$$ $$cosec\theta=\frac{1}{sin\theta}=\frac{17}{8}$$

=> Ans - (A)

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