Home
Class 12
MATHS
Find the minimum value of 9tan^2theta+4c...

Find the minimum value of `9tan^2theta+4cot^2theta`

Text Solution

Verified by Experts

The correct Answer is:
12

`9tan^2theta+4cot^2theta=(3tantheta -2cottheta)^2+12`
Hence, the minimum value is 12.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.6|9 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise (Single)|57 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise Exercise 2.4|4 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Archives (Matrix Match Type)|1 Videos
  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

Similar Questions

Explore conceptually related problems

If sin^2theta_1+sin^2theta_2+...+sin^2theta_n=0 , then find the minimum value of costheta_1+costheta_2+...+costheta_n .

Solve tan5theta=cot2theta

If theta is an acute angle and tan theta + cot theta=2 find the value of tan^(7)theta+cot^(7)theta

Find the minimum value of (2-a-4 sec theta)^(2)+(a-3 tan theta)^(2), a in R.

Find the maximum and minimum values of cos^2theta-6sinthetacostheta+3sin^2theta+2.

Solve tan^(2) theta+cot^(2) theta=2 .

Solve tan 5 theta= cot 2 theta .

Solve: 2 tan theta-cot theta=-1

If cos^(-1) (1/(5sqrt(2)))= theta find the value of sin theta and cot theta

If theta=pi/(4n) then the value of tanthetatan(2theta)tan(3theta)....tan((2n-1)theta) is