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 ENGLISH|Exercise Solved example|15 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE ENGLISH|Exercise Concept App. 3.1|11 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

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

    CENGAGE ENGLISH|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 complement

Find the angle which is equal to its complement

Find the angle which is equal to its supplement

Find the angle which is equal to its supplement

Find an angle theta , whose rate of increase is twice as the rate of decrease of its cosine.

In what quadrant does an angle lie if (a) its sine is positive and its cosine is negative ? (b) Its tangent positive and its sine is negative ? (c ) its cosine is positive and its tangent is negative ? (d) its sine is negative and its cosine is positive ?

Find the angle between the line whose direction cosines are given by l+m+n=0a n dl^2+m^2-n^2-0.

Find the equation of the standard ellipse, taking its axes as the coordinate axes, whose minor axis is equal to the distance between the foci and whose length of latus rectum is 10. Also, find its eccentricity.