If tan alpha is equal to the integral so...

If `tan alpha` is equal to the integral solution of the inequality `4x^(2)-16x+15lt0` and `cos beta` is equal to the slope of the bisector of the coordinate axes in the first quadrant, then `sin(alpha+beta)sin(alpha-beta)` is equal to

A

`1/5`

B

`3/5`

C

`2/sqrt(5)`

D

`4/5`

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

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

If sin beta=sin(2alpha+beta) , then tan(alpha+beta)-2tan alpha is

If cos(theta - alpha)=a, cos(theta-beta)=b , then sin^(2)(alpha -beta) + 2abcos(alpha-beta)=0

If 3 sin alpha=5sin beta then (tan((alpha+beta)/2))/(tan((alpha-beta)/2))=

If 3sin beta = sin(2alpha + beta) , then tan(alpha + beta)-2tan alpha is:

A line makes angles alpha,beta,gamma with the coordinate axes. If alpha + beta = pi//2 , then (cos alpha+cosbeta+cosgamma)^(2) is equal to

If sin (theta + alpha) = a and sin (theta + beta) = b,"then" cos 2 (alpha - beta) - 4ab cos (alpha - beta) =