Home
Class 12
MATHS
A triangle ABC is such that sin(2A+B) =1...

A triangle `ABC` is such that `sin(2A+B) =1/2` and If `A, B` and `C` are in `A.P.,` then find the value of `A` and `C`

Text Solution

Verified by Experts

The correct Answer is:
`A = (pi)/(4) rArr C = (5pi)/(12)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Matching Type Questions )|1 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise EXAMPLES ( Subjective Type Examples )|2 Videos
  • THREE DIMENSIONAL COORDINATE SYSTEM

    ARIHANT MATHS|Exercise Three Dimensional Coordinate System Exercise 12 : Question Asked in Previous Years Exam|2 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

In any triangle ABC, prove that : sin (A + B) = sin C .

In a triangle ABC, 2ca sin frac(A-B+C)(2) =

ABC is a triangle such that : sin (2A +B) = sin (C-A) = -sin (B+ 2C) = 1/2 . If A, B and C are in arithmetical progression, determine the values of A, B and C.

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 is

In a triangle ABC, if a = 18, b = 24 and c = 30, find sin A, sin B and sin C.

If in triangle ABC, a, c and angle A are given and c sin A lt a lt c , then ( b_(1) and b_(2) are values of b)

The angle of triangle A, B, C are in AP and C=3A . Find angle B

If in a Delta ABC, sin ^(3) A + sin ^(3) B+ sin ^(3) C =3 sin A .Sin B. sin C, then find the valueof determinant |{:(a,b,c),(b,c,a),(c,a,b):}|.

If the sides a, b, c of a triangle are in A.P., then find the value of tan frac (A)(2)+ tan frac (C)(2) in terms of cot frac (B)(2) .

In any triangle ABC, prove that : b^2 sin 2C + c^2 sin 2B = 2 bc sin A .