Question 96

If Cot θ = 24/7, then what is the value of Sec θ?

Solution

Given : $$cot\theta=\frac{24}{7}$$

=> $$tan\theta=\frac{7}{24}$$

Using, $$sec^2\theta-tan^2\theta=1$$

=> $$sec^2\theta=1+(\frac{7}{24})^2$$

=> $$sec^2\theta=1+\frac{49}{576}=\frac{625}{576}$$

=> $$sec\theta=\sqrt{\frac{625}{576}}=\frac{25}{24}$$

=> Ans - (B)