Home
Class 12
MATHS
If cos(alpha - beta) = 1 and cos(alpha +...

If `cos(alpha - beta) = 1` and `cos(alpha + beta) = 1/e`, then the number of ordered pairs `(alpha,beta)` such that `alpha,beta` in `[-pi,pi]` is :

A

0

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTION(LEVEL-II)|86 Videos

  • TRIGONOMETRIC RATIOS, IDENTITIES AND EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUSTIONS FROM AIEEE/JEE EXAMINATIONS|8 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|10 Videos

  • UNIT TEST PAPER NO - 4

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|25 Videos

Similar Questions

Explore conceptually related problems

If cos(alpha + beta) =0 , then sin (alpha- beta)= ________

If sin(alpha + beta) = 1 , sin(alpha - beta) = 1/2 , then : tan(alpha + 2beta)tan(2alpha + beta) is equal to :

If "cot"(alpha+beta=0, then "sin"(alpha+2beta) can be

If |vec alpha + vec beta |=| vec alpha - vec beta|, then :

If alpha+dot(beta)=(pi)/(4), then the value of (1+tan alpha)(1+tan beta)

If alpha ne beta and alpha^(2) = 5 alpha - 3, beta^(2) = 5 beta - 3 , then the equation having alpha//beta and beta/alpha as its roots, is :

If a point (alpha, beta) lies on the circle x^(2)+y^(2)=1 , then the locus of the point, (3 alpha+2, beta) is

Let p and q be real numbers such that p ne 0 , p^(3) ne q and p^(3) ne - q. if alpha and beta are non-zero complex numbers satisfying alpha + beta = -p and alpha^(3) + beta^(3) = q, then a quadratic equation having (alpha)/(beta ) and (beta)/(alpha) as its roots is :

Let -pi/6 beta_1 and alpha_2 >beta_2 , then alpha_1 + beta_2 equals:

If alpha, beta are the roots of the equation x^(2)+x+1=0 , then the equation whose roots are (alpha)/(beta) and (beta)/(alpha) is