Home
Class 11
MATHS
If alpha, beta, gamma are acute angles a...

If `alpha, beta, gamma` are acute angles and `cos theta = sin beta//sin alpha, cos phi = sin gamma//sin alpha` and `cos(theta-phi)=sin beta sin gamma` then the value of of `tan^(2)alpha - tan^(2)beta- tan^(2)gamma` is equal to

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) ADVANCED|5 Videos

  • COMPOUND ANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) LEVEL - II|4 Videos

  • CHANGE OF AXES

    AAKASH SERIES|Exercise Practice Exercise|29 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta, gamma are any three angles , then cos alpha + cos beta - cos gamma - cos (alpha+beta+gamma)=

If cos alpha + cos beta + cos gamma =3 , " then " sin alpha + sin beta + sin gamma =

If alpha,beta are complementary angles and sin alpha = (3)/(5) , then sin alpha cos beta - cos alpha sin beta =

If alpha, beta are the solutions of a cos 2theta + b sin 2theta = c , then tan alpha tan beta=

If alpha , beta are complementary angles , sin alpha = 3//5 , then sin alpha cos beta - cos alpha sin beta =

Given alpha+beta+gamma=pi then sin^2alpha+sin^2beta-sin^2gamma is equal to……

sin alpha + sin beta= 1/4 and cos alpha + cos beta = 1/3 The vlaue of tan (alpha + beta) is