Home
Class 12
MATHS
Find the angle theta whose cosine is equ...

Find the angle `theta` whose cosine is equal to its tangent.

Text Solution

Verified by Experts

Given,
`cos theta=tan theta` or `cos^(2)theta=sin theta`
or `1-sin^(2)theta=sin theta` or `sin^(2)theta+sin theta-1=0`
or `sin theta=(-1+-sqrt(5))/(2)=2xx(sqrt(5)-1)/(4)=2sin 18^(@)`
or `theta=sin^(-1)(2 sin 18^(@))`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.1|11 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Exercise 3.2|7 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

Similar Questions

Explore conceptually related problems

Find the angle which is equal to its supplement.

Find the angle which is equal to its complement

Find the angle which is equal to its supplement

Find the angle whose complement is one third of its supplement.

Find the angle whose supplement is four times its complement.

Find the angle between the lines whose direction cosines are connected by the relations l+m+n=0and2lm+2nl-mn=0

Find the angle between the vectors whose direction cosines are proportional to 2,3,-6 and 3,-4,5

Find the angle between the lines whose direction-cosines are give /+2m+3n=0 and 3/m-4/n+mn=0'

Find the angle between the two lines whose direction cosines are: (2)/(3),(-1)/(3),(-2)/(3) and (3)/(7),(2)/(7),(6)/(7) .