Home
Class 12
MATHS
sin(3theta+alpha)+sin(3theta-alpha)+sin(...

`sin(3theta+alpha)+sin(3theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cosalpha`

Text Solution

Verified by Experts

The correct Answer is:
`{x|x = npi + (-1)^(n)(pi)/(6)}cup {theta|theta = n pi +(-1)^(n) (pi)/(10)} cup {theta|theta = n pi - (-1)^(n)(3pi)/(10)}`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise For Session 2|8 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

sin(3 theta+alpha)+sin(3 theta-alpha)+sin(alpha-theta)-sin(alpha+theta)=cos alpha

if sin(theta+alpha)=cos(theta+alpha) then tan alpha

If sin^(2)(theta-alpha)cos alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha, then

If sin^(2)(theta-alpha)cas alpha=cos^(2)(theta-alpha)sin alpha=m sin alpha cos alpha then prove that |m|>=(1)/(sqrt(2))

If sin(theta+alpha)=n sin(theta-alpha) , prove that cot theta=(n-1)/(n+1) cot alpha .

The value of 2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta)

Given that sin theta = 12/13,0 ltthetaltpi, then (5sin(alpha + theta) - 12cos(alpha + theta)) cosec alpha is equal to

Prove that :2sin^(2)theta+4cos(theta+alpha)sin alpha sin theta+cos2(alpha+theta) is independent of theta.

Find the general value of theta from the equation sinalpha+sin(alpha+theta)+sin(alpha+2theta)=0 .