Question:medium
If \(4 cos\ θ + 5 sin\ θ = 1\), then all possible values of \(tan\ θ\), is/are
Where, \(θ∈(-\frac \pi2,\frac \pi2)\)
If \(4 cos\ θ + 5 sin\ θ = 1\), then all possible values of \(tan\ θ\), is/are
Where, \(θ∈(-\frac \pi2,\frac \pi2)\)
Where, \(θ∈(-\frac \pi2,\frac \pi2)\)
Updated On: Mar 19, 2026
- 1
- 3
- 2
- 4
Show Solution
The Correct Option is C
Solution and Explanation
The correct option is (C), which corresponds to the value 2.
Was this answer helpful?
0
Top Questions on Some Applications of Trigonometry
- From a point on the ground, which is 60 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be \( 45^\circ \). The height (in metres) of the tower is :
- CBSE Class X - 2026
- Mathematics
- Some Applications of Trigonometry
- If \( 2 \sin A = 1 \), then the value of \( \tan A + \cot A \) is :
- CBSE Class X - 2026
- Mathematics
- Some Applications of Trigonometry
- The number of values of \( x \) satisfying \( \tan^{-1}(4x) + \tan^{-1}(6x) = \frac{\pi}{6} \) and \( x<\left[ \frac{-1}{2\sqrt{6}} , \frac{1}{2\sqrt{6}} \right] \) is:
- JEE Main - 2026
- Mathematics
- Some Applications of Trigonometry
- If \[ \frac{\cos^2 48^\circ - \sin^2 12^\circ}{\sin^2 24^\circ - \sin^2 6^\circ} = \frac{\alpha + \sqrt{5\beta}}{2} \] then the value of \( (\alpha + \beta) \) is:
- JEE Main - 2026
- Mathematics
- Some Applications of Trigonometry
- Want to practice more? Try solving extra ecology questions todayView All Questions
