Home
Class 12
MATHS
If tanbeta = costheta*tanalpha , then ...

If `tanbeta = costheta*tanalpha` , then `tan^2(theta/2)` is equal to

A

`(sin(alpha+beta))/(sin(alpha-beta))`

B

`(cos(alpha-beta))/(cos(alpha+beta))`

C

`(sin(alpha-beta))/(sin(alpha+beta))`

D

`(cos(alpha+beta))/(cos(alpha-beta))`

Text Solution

Verified by Experts

The correct Answer is:
C
`"tan"^(2)(theta)/(2)=(1-cos theta)/(1+cos theta)=(tan alpha - tan beta)/(tan alpha + tan beta)=(sin(alpha-beta))/(sin(alpha+beta))`
Promotional Banner

Topper's Solved these Questions

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

    CENGAGE|Exercise Multiple Correct Answers Type|6 Videos

  • TRIGONOMETRIC RATIOS AND TRANSFORMATION FORMULAS

    CENGAGE|Exercise Matrix Match Type|1 Videos

  • VECTOR ALGEBRA

    CENGAGE|Exercise Solved Examples And Exercises|450 Videos

Similar Questions

Explore conceptually related problems

If tan 3 theta + tan theta =2 tan 2 theta , then theta is equal to (n in Z)

If sin theta = cos theta , " then " 2 tan^(2) theta + sin^(2) theta -1 is equal to .............

1 + tan^2 theta = ?

If theta_1 and theta_2 are two values lying in [0,2pi] for which t a ntheta=lambda, then tan((theta_1)/2)tan((theta_2)/2) is equal to (a)0 (b) -1 (c) 2 (d) 1

If costheta_1 =2costheta_2, then tan((theta_1-theta_2)/2)tan((theta_1+theta_2)/2) is equal to (a) 1/3 (b) -1/3 (c) 1 (d) -1

If sintheta=costheta then 2tan^(2)theta+sin^(2)theta-1=___ .

3(sintheta-costheta)^4+6(sintheta +costheta)^2+4(sin^6theta+cos^6theta) is equal to 11 (b) 12 (c) 13 (d) 14

If sin theta = 3 sin ( theta + 2 alpha) , then the value of tan (theta + alpha ) + 2 tan alpha is

If tan ( theta/2)=t then ( 1-t^2 )/( 1+t^2) is equal to