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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

`(3)/(5)`

B

`(3)/(5)`

C

`(2)/(sqrt(5))`

D

`(4)/(5)`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-COMPOUND ANGLES-LECTURE SHEET (EXERCISE - I)
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  4. If tan alpha is equal to the integral solution of the inequality 4x^(2...

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  5. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  8. Let (sin(theta-alpha))/(sin(theta-beta))=(a)/(b) and (cos(theta-alpha)...

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  9. If (tan(alpha + beta - gamma))/(tan(alpha - beta + gamma)) = (tan gamm...

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  12. Let 0lt x lt pi//4, then (sec2x-tan2x) equals

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  13. Which of the following number(s) is/are rational ?

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  14. If alpha+beta+gamma =2pi, then

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  15. If the equation sin x(sin x + cos x)=k has real solutions then k may l...

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  16. If tan theta + tan phi =a, and cot theta + cot phi =b, and theta - phi...

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  17. If cos(alpha - beta) + cos(beta - gamma)+ cos(gamma-alpha)=-3/2, then

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  18. If sin alpha=A sin(alpha + beta), A ne 0, then: The value of tan al...

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  19. If sin alpha = A sin (alpha+beta), A ne 0 then The value of tan bet...

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