Exams › SSC CGL (Prelims) › General

If 1 + cot²\(\theta\) = cosec²\(\theta\), then what is the value of cosec²60° - cot²60°?

1. 1
2. 2
3. 3
4. 4

Correct answer: 1

Solution

Using standard trigonometric values, \(\csc^2 60^\circ = \frac{4}{3}\) and \(\cot^2 60^\circ = \frac{1}{3}\). Their difference is 1.

Related SSC CGL (Prelims) General questions

• What is the value of \(5 + 55 + 555 + 5555 + 55555\)?
• Simplify: \((214 + 3.8) - 215\)
• If $x = \sqrt{6} - \sqrt{2}$ and $y = \sqrt{5} - \sqrt{3}$, then which of the following is true?
• Evaluate: $\left(15 \div 13\right) \div \left(\frac{1}{10} + 1 - \frac{8}{10}\right)$
• Which of the following equals 20?
• A runner has to cover a distance of 100 km. After running for 5 hours 20 minutes, he finds that he has completed \(\tfrac{2}{3}\) of the total distance. What is his speed in km/h?

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