Question:
If 5tan θ=12, then find the value of cosθ-sinθ:
If 5tan θ=12, then find the value of cosθ-sinθ:
Updated On: Jul 18, 2024
- -1
- \(\frac{5}{13}\)
- \(-\frac{7}{13}\)
- \(\frac{27}{20}\)
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is(C): \(-\frac{7}{13}\)
Was this answer helpful?
1
0
Top Questions on Trigonometry
- Number of solutions in the interval \( [-2\pi, 2\pi] \) for the equation: \[ 2\sqrt{2} \cos^2 \theta + (2 - \sqrt{6}) \cos \theta - \sqrt{3} = 0 \]
- JEE Main - 2025
- Mathematics
- Trigonometry
- Let \( S = \{ x : \cos^{-1} x = \pi + \sin^{-1} x + \sin^{-1} (2x + 1) \ \). Then \[ \sum_{x \in S} (2x - 1)^2 \text{ is equal to:} \]
- JEE Main - 2025
- Mathematics
- Trigonometry
- If \[ \sum_{r=1}^{13} \frac{1}{\sin \frac{\pi}{4} + (r-1) \frac{\pi}{6}} \sin \frac{\pi}{4} + \frac{\pi}{6} = a \sqrt{3} + b, \quad a, b \in \mathbb{Z}, { then } a^2 + b^2 { is equal to:} \]
- JEE Main - 2025
- Mathematics
- Trigonometry
- If \[ \sum_{r=1}^{13} \frac{1}{\sin \frac{\pi}{4} + (r-1) \frac{\pi}{6}} \sin \frac{\pi}{4} + \frac{\pi}{6} = a \sqrt{3} + b, \quad a, b \in \mathbb{Z}, { then } a^2 + b^2 { is equal to:} \]
- JEE Main - 2025
- Mathematics
- Trigonometry
- The value of \( \cos \left( \frac{\pi}{6} + \cot^{-1}(-\sqrt{3}) \right) \) is:
- CBSE CLASS XII - 2025
- Mathematics
- Trigonometry
View More Questions
Questions Asked in CUET PG exam
- What is the correct verb form: He, as well as his friends, ?
- Which preposition is correct: Chanakya lived ?
- CUET (PG) - 2025
- Prepositions
- Identify the possessive noun: My office car is parked elsewhere.
- Which tense is appropriate: How did Saira ?
- Complete the sentence: There is a growing synthesis between humanism and ?
- CUET (PG) - 2025
- Sentence Completion
View More Questions