Home
Class 12
MATHS
Consider the equation 5 sin^2 x + 3 sin ...

Consider the equation `5 sin^2 x + 3 sin x cos x - 3 cos^2 x =2 `.......... (i)
`sin^2 x - cos 2 x =2-sin 2 x `........... (ii)
If ` alpha ` is a root (i) and ` beta` is a root of (ii), then ` tan alpha + tan beta ` can be equal to

A

`(1+sqrt(69)//6`

B

`-1-sqrt(69)//6`

C

`(-3 +sqrt(69))/(6)`

D

`(3-sqrt(69))/(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|12 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|25 Videos

  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|44 Videos

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|19 Videos

Similar Questions

Explore conceptually related problems

Consider the equation 5 sin^2 x + 3 sin x cos x - 3 cos^2 x =2 .......... (i) sin^2 x - cos 2 x =2-sin 2 x ........... (ii) The number of solutions common to (i) and (ii) is

Consider the equation 5 sin^2 x + 3 sin x cos x - 3 cos^2 x =2 .......... (i) sin^2 x - cos 2 x =2-sin 2 x ........... (ii) If tan alpha , tan beta satisfy (i) and cos gamma , cos delta satisfy (ii) , then tan alpha * tan beta + cos gamma + cos delta can be equal to

If alpha = sin^(-1) (cos(sin^-1) x)) and beta = cos^(-1) (sin (cos^(-1) x)) , then find tan alpha. tan beta.

If x cos alpha + y sin alpha = x cos beta + y sin beta = 2a then cos alpha cos beta =

2tan2x = (cos x + sin x) / (cos x-sin x) - (cos x-sin x) / (cos x + sin x)

If alpha and beta are two distinct roots of the equation a cos x+b sin x=10, then tan((alpha+beta)/(2)) is equal to

alpha = sin ^ (- 1) (cos (sin ^ (- 1) x)) and beta = cos ^ (- 1) (sin (cos ^ (- 1) x)) then tan alpha tan beta

If alpha=sin^(-1)(cos(sin^(-1)x)) and beta=cos^(-1)(sin(cos^(-1)x)) then find tan alpha.tan beta