Home
Class 12
MATHS
Solve tan 5 theta= cot 2 theta....

Solve `tan 5 theta= cot 2 theta`.

Text Solution

Verified by Experts

`tan 5 theta=cot 2 theta=tan (pi/2-2 theta)`
`rArr 5 theta=n pi +pi/2-2 theta`
`rArr 7 theta=n pi +pi/2`
`rArr theta=(n pi)/7+pi/14, ((2n+1)pi)/14`, where `n in Z`, but `n ne 3, 10, 17, ...`
where `tan 5 theta` is not defined.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.1|12 Videos
  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.2|6 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 tan 5 theta=cot2 theta

General solution of tan 5 theta = 'cot 2 theta'

Solve 2tan theta-cot theta=-1

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

Solve tan theta + tan 2 theta + tan theta * tan 2 theta * tan 3 theta=1

tan theta . cot theta = ?

Solve 2 tan theta-cot theta=-1 .

tan theta+cot theta is :