Home
Class 12
MATHS
Solve 4 cos^(2)x+6 sin^(2)x=5....

Solve `4 cos^(2)x+6 sin^(2)x=5`.

Text Solution

Verified by Experts

The correct Answer is:
`x=n pi pm pi/4, n in Z`

`4+2 sin^(2) x=5`
or `sin^(2) x=1/2= sin^(2) pi/4`
`rArr x=n pi pm pi/4, n in Z`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.6|4 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.7|9 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.4|9 Videos
  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|34 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

Solve: [[cos^(2)x, sin^(2)x],[sin^(2)x, cos^(2)x]]+[[sin^(2)x, cos^(2)x],[cos^(2)x, sin^(2)x]]

The solutions of the equation 4cos^(2) + 6 sin^(2) x =5 are

Solve the following trigonometric equations, (i) 4 cos^(2)x+6"sin"^(2)x=5 (ii) 7 "sin"^(2)x+3 cos^(2)x=4 .

Solve the equation, 4^(sin2x + 2cos^(2)x+ 2sin^(2)x)=64 .

Solve 4cos x(2 -3sin^(2)x)+cos2x+1=0

Solve sin5x=cos2x

Prove that: cos^(2)2x-cos^(2)6x=sin4x sin8x

Solve the inequality (5)/4 sin^(2) x + sin^(2) x * cos^(2) gt cos 2x.

Solve sin 2x=4 cos x .

cos x+cos^(2)x=1 then sin^(8)x+2sin^(6)x+sin^(4)x=