Exams › SSC CGL (Prelims) › General

If $\cos\theta=\frac{5}{13}$ and $\theta$ lies in the first quadrant, find the value of $\sin\theta$.

1. 12/13
2. 5/12
3. 13/12
4. 12/5

Correct answer: 12/13

Solution

Using $\sin^2\theta=1-\cos^2\theta=1-(5/13)^2=144/169$, we get $\sin\theta=12/13$ in the first quadrant.

Related SSC CGL (Prelims) General questions

• If \(\cos(90^\circ-\theta)=\sin(2\theta)\), what is \(\theta\)?
• Given that angles \(A\) and \(B\) are complementary and \(\cos A=\frac{5}{13}\), what is \(\tan B\)?
• What is the radian measure of $135^\circ$?
• If $\sin^2\theta-\cos^2\theta=-\frac{1}{3}$, find the value of $\cos^2\theta$.
• If \(\tan B = \cot(4B - 45^\circ)\), what is \(B\)?
• If \(\cos A - \sin A = \sqrt{3}\cos A\), what is \(\tan A\)?

⚔️ Practice SSC CGL (Prelims) General free + battle 1v1 →