Exams › SSC CGL (Prelims) › General

If \(\tan\theta = \frac{3}{4}\), then \(\cos\theta - \sin\theta = ?\)

1. \(\frac{1}{5}\)
2. \(\frac{2}{5}\)
3. \(\frac{3}{5}\)
4. \(\frac{7}{5}\)

Correct answer: \(\frac{1}{5}\)

Solution

If \(\tan\theta=3/4\), take opposite = 3 and adjacent = 4, so hypotenuse = 5. Then \(\sin\theta=3/5\) and \(\cos\theta=4/5\), giving \(\cos\theta-\sin\theta=1/5\).

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 →