Question:medium
If \(\sin \theta = \frac{3}{5}\) and \(\cos \theta < 0\), then the value of \(\tan \theta\) is
If \(\sin \theta = \frac{3}{5}\) and \(\cos \theta < 0\), then the value of \(\tan \theta\) is
Show Hint
Remember the "ASTC" rule: All (Q1), Sine (Q2), Tan (Q3), Cosine (Q4) are positive. If Sine is positive and Cosine is negative, you are in Q2, where only Sine is positive. So Tan must be negative.
Updated On: Jun 24, 2026
- \(-\frac{3}{4}\)
- \(-\frac{3}{5}\)
- \(\frac{3}{4}\)
- \(-\frac{4}{3}\)
- \(\frac{4}{3}\)
Show Solution
The Correct Option is A
Solution and Explanation
Was this answer helpful?
0
Top Questions on Trigonometric Functions
- If \( \tan \theta = 2 \), then the value of \( \sec^2 \theta \) is:
- MHT CET - 2025
- Mathematics
- Trigonometric Functions
- Find the value of \( \sin 30^\circ + \cos 60^\circ \).
- MHT CET - 2025
- Mathematics
- Trigonometric Functions
- If \( \sin \theta = \frac{3}{5} \), find the value of \( \cos \theta \).
- MHT CET - 2025
- Mathematics
- Trigonometric Functions
- Find the value of \( \tan 45^\circ \).
- MHT CET - 2025
- Mathematics
- Trigonometric Functions
- Want to practice more? Try solving extra ecology questions todayView All Questions
