Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosθ=\(\frac{1}{\sqrt {17}}\)

then find the value of sec2θ + tanθ.

Options:

15

17

18

21

Correct Answer:

21

Explanation:

cosθ=\(\frac{1}{\sqrt {17}}\)=\(\frac{B}{H}\)

P=\(\sqrt {(\sqrt {17})^2-(1)^2}\)    (H2 = B2 + P2)

P=\(\sqrt {17-1}\) 

P = 4

Now, sec2θ + tanθ

=(\(\frac{\sqrt {17}}{1}\))2+\(\frac{4}{1}\)

= 17 + 4 = 21