Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosθ=\(\frac{1}{\sqrt {10}}\)

then find the value of sec2θ + tanθ.

Options:

45

26

39

13

Correct Answer:

13

Explanation:

cosθ=\(\frac{1}{\sqrt {10}}\)=\(\frac{B}{H}\)

P=\(\sqrt {(\sqrt {10})^2-(1)^2}\)    (H2 = B2 + P2)

P=\(\sqrt {10-1}\) 

P = 3

Now, sec2θ + tanθ

=(\(\frac{\sqrt {10}}{1}\))2+\(\frac{3}{1}\)

= 10 + 3 = 13