Home
Class 12
MATHS
Solve sqrt(2) sec theta+tan theta=1....

Solve `sqrt(2) sec theta+tan theta=1`.

Text Solution

Verified by Experts

The correct Answer is:
`theta=2 n pi -pi/4, n in Z`
`(sqrt(2)// cos theta)+sin theta// cos theta=1" "( :' cos theta ne 0)`
or `cos theta- sin theta=sqrt(2)`
`rArr (1//sqrt(2)) cos theta-(1//sqrt(2)) sin theta=1`
`rArr cos (theta+pi//4)=1= cos theta`
`rArr theta+(pi//4)=2 n pi`
`rArr theta=2n pi-(pi//4), n in Z`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.7|9 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.8|4 Videos

  • TRIGONOMETRIC EQUATIONS

    CENGAGE|Exercise Exercise 4.5|5 Videos

  • TRIGNOMETRIC RATIOS IDENTITIES AND TRIGNOMETRIC EQUATIONS

    CENGAGE|Exercise Question Bank|4 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

Solve sqrt(3) sec 2 theta=2 .

Solve 3tan^(2) theta-2 sin theta=0 .

Solve 3(sec^(2) theta+tan^(2) theta)=5 .

Solve 4 cos theta-3 sec theta=tan theta .

Prove than: sec theta + tan theta = (cos theta )/(1 - sin theta)

Solve tan3theta=-1

Solve tan theta+tan 2 theta+sqrt(3) tan theta tan 2 theta = sqrt(3) .

Prove: sec theta + tan theta = 1/(sec theta - tan theta)

Solve tan^(2) theta+(1-sqrt3) tan theta-sqrt3=0