Home
Class 12
MATHS
If cos alpha + cos beta + cos gamma = ...

If ` cos alpha + cos beta + cos gamma = 0 sin alpha + sin beta + sin gamma ` , Prove that
`cos^(2) alpha + cos^(2) beta + cos^(2) gamma = 3/2 = sin^(2) alpha + sin^(2) beta + sin^(2) gamma`.

Text Solution

Verified by Experts

The correct Answer is:
`3/2`
Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - A (VERY SHORT ANSWER TYPE QUESTIONS)|10 Videos
  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (SHORT ANSWER TYPE QUESTIONS)|7 Videos
  • MODEL PAPER 8

    VGS PUBLICATION-BRILLIANT|Exercise SECTION -B (SHORT ANSWER TYPE QUESTIONS)|7 Videos
  • MODEL PAPER 7

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (LONG ANSWER TYPE QUESTIONS)|7 Videos
  • MODEL PAPER 9

    VGS PUBLICATION-BRILLIANT|Exercise SECTION-C (III. LONG ANSWER TYPE QUESTIONS) |7 Videos

Similar Questions

Explore conceptually related problems

If cos alpha + cos beta + cos gamma =3 , " then " sin alpha + sin beta + sin gamma =

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that cos 3 alpha + cos 3 beta + cos 3 gamma = 3 cos ( alpha + beta + gamma)

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that cos ( alpha + beta) + cos ( beta + gamma) + cos ( gamma + alpha) = 0

cos alpha + cos beta + cos gamma + cos ( alpha + beta + gamma ) =

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then show that sin 3 alpha + sin 3 beta + sin 3 gamma = 3 sin ( alpha + beta + gamma)

If cos alpha+cos beta+cos gamma=0 & sin alpha +sin beta +sin gamma=0 . Then Prove that sin2alpha+sin2beta+sin2gamma=0

If cos alpha + cos beta =0 = sin alpha + sin beta " then " cos (alpha - beta )=

I : If cos alpha + cos beta + cos gamma =3 " then " sin alpha + sin beta + sin gamma =0 II : If sin alpha + sin beta + sin gamma =3 " then " cos alpha + cos beta + cos gamma =0