Question:medium

If (cos A)/(cos B)=n, (sin A)/(sin B)=m, then the value of (m²-n²)sin² B is

Show Hint

Express everything in terms of one angle to simplify.

Updated On: Mar 20, 2026

\(1+n^2\)
\(1-n^2\)
\(n^2\)
-n²

Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?

0

Top Questions on Trigonometry

From the top of a 100 m high cliff, the angle of depression of a boat is $45^\circ$. Calculate the distance of the boat from the foot of the cliff.
- ICSE Class X board - 2026
- Mathematics
- Trigonometry
View Solution
A drone is flying at a height of 100 m above the ground. It observes on its right two stationary cars on a highway at angles of depression 45° and 30°. On the basis of above information, answer the following questions: If the drone rises to 150 m, find the tangent of the angle of depression of each car at the new height.
- UK Class X - 2026
- Mathematics
- Trigonometry
View Solution
A drone is flying at a height of 100 m above the ground. It observes on its right two stationary cars on a highway at angles of depression 45° and 30°. On the basis of above information, answer the following questions: Find the distance between the two cars.
- UK Class X - 2026
- Mathematics
- Trigonometry
View Solution
A drone is flying at a height of 100 m above the ground. It observes on its right two stationary cars on a highway at angles of depression 45° and 30°. On the basis of above information, answer the following questions: Find the distance of each car from the point on the highway just below the drone.
- UK Class X - 2026
- Mathematics
- Trigonometry
View Solution
Want to practice more? Try solving extra ecology questions todayView All Questions

Questions Asked in BITSAT exam

What is the dot product of the vectors \( \mathbf{a} = (2, 3, 1) \) and \( \mathbf{b} = (1, -1, 4) \)?

BITSAT - 2025
Vector Algebra

In a mixture of gases, the average number of degrees of freedom per molecule is 6. If the rms speed of the molecule is \(c\), what is the velocity of sound in the gas?

BITSAT - 2025
kinetic theory

A ball is thrown vertically upward with a speed of 49 m/s. How long will it take to return to the thrower’s hand?

BITSAT - 2025
Kinematics

Two identical bodies of mass 1 kg each are moving towards each other with velocities of 5 m/s and 3 m/s, respectively. They collide elastically. What will be the velocity of the body initially moving at 5 m/s after the collision?

BITSAT - 2025
Mechanics