Home
Class 11
MATHS
If tan alpha equals the integral solutio...

If `tan alpha` equals the integral solution of the inequality `4x^(2) - 16x + 15 lt 0 and cos beta` equals to the slope of the bisector of first quadrant, then `sin(alpha + beta) sin (alpha- beta)` is equal to

A

`(3)/(5)`

B

`- (3)/(5)`

C

`(2)/(sqrt5)`

D

`(4)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If tan alpha is equal to the integral solution of the inequality 4x^(2)-16x+15<0 and cos beta is equal to the slope of the bisector of the first quadrant,then sin(alpha+beta)sin(alpha-beta) is equal to (a)(3)/(5) (b) (3)/(5) (c) (2)/(sqrt(5)) (d) (4)/(5)

In the following incomplete sentences fill in the blanks such that the resulting sentences become true. If tan alpha is an integral solution of the inequation 4x^(2) -16x + 15 lt 0 and cos beta is the slope of the bisector of the angle in the first quadrant between the x and y axes then the value of sin(alpha +beta)* sin(alpha - beta) =__________.

If cot(alpha+beta)=0, then sin(alpha+2 beta) is equal to

The expression (sin alpha+ sin beta)/(cos alpha+cos beta) is equal to:

If 5sin alpha=3sin(alpha+2 beta)!=0, then tan(alpha+beta) is equal to

If 5sin alpha=3(alpha+2 beta)!=0, then tan(alpha+beta) is equal to

If cos (theta -alpha) =a, sin (theta - beta) =b, then cos ^(2) (alpha - beta) + 2 ab sin (alpha - beta) is equal to