Home
Class 11
MATHS
If tan^(2)theta = 1 - k^(2), show that s...

If `tan^(2)theta = 1 - k^(2)`, show that sec `theta` + `tan^(3)theta` cosec `theta = (2 - k^(2))^(3//2)`. Also, find the values of k for which this result holds.

Text Solution

Verified by Experts

The correct Answer is:
k lies between -1 and 1
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.2|19 Videos

  • TRIGONOMETRY

    SURA PUBLICATION|Exercise EXERCISE 3.3|17 Videos

  • SURAS MODEL QUESTION PAPER -2

    SURA PUBLICATION|Exercise section -IV|7 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS - SECTION - D|3 Videos

Similar Questions

Explore conceptually related problems

If sec theta + tan theta = k, cos theta =

Solve cot theta + tan theta=2 cosec theta .

If cot theta = 3/2 , then tan sec theta = …….

9tan^(2)theta-9sec^(2)theta= ………… .

If tan theta = (-4)/(3) then " cosec" theta is

IF tan ( theta/2) = (2)/(3) , then sec theta =

IF tan 2 theta . Tan theta = 1 then theta is

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