Home
Class 11
MATHS
Assetion (A) : If x= sin(alpha- beta) si...

Assetion (A) : If `x= sin(alpha- beta) sin (gamma- delta), y= sin(beta- gamma) sin (alpha- delta) z=sin (gamma- alpha). Sin (beta- delta)` then `x+y+z=0`
Reason (R) : `2 sin A sin B= cos (A-B)+cos (A+B)`

A

A is true, R is true and R is correct explanation of A

B

A is true, R is true and R is not correct explanation of A

C

A is true, R is false

D

A is false, R is true

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PERIOICITY, EXTREME VALUES AND GRAPHS|14 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise THRIGONOMETRIC EQUATIONS|22 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise MULTIPLE & SUB MULTIPLE ANGLES|20 Videos
  • REAL FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE-1|34 Videos
  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

If x = sin (alpha - beta) sin (gamma - delta) y = sin (beta - gamma) sin (alpha - delta ) and z = sin (gamma - alpha ) sin (beta - delta ) then

cos alpha sin (beta-gamma)+cos betasin (gamma-alpha+cos gamma sin (alpha-beta)=

cos alpha * sin (beta - gamma ) + cos beta * sin ( gamma - alpha ) + cos gamma * sin ( alpha - beta )=

sin 2 alpha + sin 2 beta + sin 2 gamma - sin2(alpha + beta + gamma )=

(i) sin (alpha + beta) = sin alpha cos beta + cos alpha sin beta) (ii) sin (alpha-beta)= sin alpha cos beta- cos alpha sin beta Proof

If tan beta=2 sin alpha sin gamma "cosec" (alpha+ gamma) then cot alpha, cot beta, cot gamma are in

If sin alpha = sin beta and cos alpha = cos beta then