Question

If $\cos \theta =\frac{3}{5}$ find the value of $\cot \theta +cosec\theta$

• A. 1
• B. 2
• C. 3
• D. 0

Answer 1

The correct option is B 2

We use pythagorean triplets: $3,4,5$

$\because 3^2+4^2=5^2$ and also $sin\theta =\sqrt{1-co{s}^2\theta }$

$\cos \theta =\frac{3}{5}$

$\Rightarrow \csc \theta =\frac{5}{4},\cot \theta =\frac{3}{4}$

$\therefore \cot \theta +\csc \theta$

$=\frac{3}{4}+\frac{5}{4}=\frac{8}{4}$

$=2$