Question 46

If Sin θ = 20/29, then what is the value of Cos θ?

Solution

Given : $$sin\theta=\frac{20}{29}$$

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

=> $$cos^2\theta=1-(\frac{20}{29})^2$$

=> $$cos^2\theta=1-\frac{400}{841}=\frac{441}{841}$$

=> $$cos\theta=\sqrt{\frac{441}{841}}=\frac{21}{29}$$

=> Ans - (B)

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