If alphaa n dbeta are the solutions of t...

If `alphaa n dbeta` are the solutions of the equation `at a ntheta+bs e ctheta=c ,` then show that `tan(alpha+beta)=(2a c)/(a^2-c^2)`

`( 2ab )/( a^(2) - b^(2))`

`( 2ab)/(a^(2) + b^(2))`

`( 2ac)/( a^(2) - c^(2))`

`( 2bc)/( b^(2) - c^(2))`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRY RATIOS AND IDENTITIES
ML KHANNA|Exercise PROBLEM SET (4) TRUE AND FALSE|5 Videos
TRIGONOMETRY RATIOS AND IDENTITIES
ML KHANNA|Exercise PROBLEM SET (4) FILL IN THE BLANKS|10 Videos
TRIGONOMETRY RATIOS AND IDENTITIES
ML KHANNA|Exercise PROBLEM SET (3) (FILL IN THE BLANKS)|2 Videos
TRIGONOMETRICAL EQUATIONS
ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If alpha and beta are the solutions of the equation a tan theta+b sec theta=c, then show that tan(alpha+beta)=(2ac)/(a^(2)-c^(2))

If alpha and beta are the solution of the equation,a tan theta+b sec theta=c then show that tan(alpha+beta)=(2ac)/(a^(2)-c^(2))

If alpha and beta are the solution of the equation a sec theta+b tan theta=c then show that tan(alpha+beta)=(2bc)/(b^(2)-c^(2))

If alpha and beta are the solutions of the equation a tan theta+b sec theta=c then (alpha+beta)=

If alpha, beta be the solutions of theta for the equation a tan theta + b sec theta = c then prove that tan(alpha+ beta) = 2ac/(a^(2)-c^(2)) .

If alpha and beta are the solution of the equation a cos2 theta+b sin2 theta=c then cos^(2)alpha+cos^(2)beta is equal to

If alpha and beta are the solutions of a cos theta+b sin theta=c, then show that cos(alpha+beta)=(a^(2)-b^(2))/(a^(2)+b^(2))( ii) cos(alpha-beta)=(2c^(2)-(a^(2)+b^(2)))/(a^(2)+b^(2))

If alpha and beta are the solutions roots of a cos theta+b sin theta=c, then choose the correct option (A)sin alpha+sin beta=(2bc)/(a^(2)+b^(2))(B)sin alpha sin beta=(c^(2)-a^(2))/(a^(2)+b^(2))(C)sin alpha+sin beta=(a^(2)-b^(2))/(c^(2)+b^(2))(D)sin alpha sin beta=(a^(2)-b^(2))/(c^(2)+b^(2))(D)

If alpha and beta are the solutions of a cos theta+b sin theta=c, show that sin alpha+sin beta=(2bc)/(a^(2)+b^(2)) and sin alpha sin beta=(c^(2)-a^(2))/(a^(2)+b^(2))

If alpha and beta are two solutions of the equation a tan x+b sec x=c ,then find the values of sin(alpha+beta) and cos(alpha+beta)

ML KHANNA-TRIGONOMETRY RATIOS AND IDENTITIES-PROBLEM SET (4) ( MULTIPLE CHOICE QUESTIONS)

If sin(120^0-alpha)=sin(120^0-beta),0<alpha,beta<pi, then find the rel...
Text Solution
|
If A=130^(@) and x=sinA+cosA, then
Text Solution
|
If alphaa n dbeta are the solutions of the equation at a ntheta+bs e c...
Text Solution
|
If a cos 2 theta + b sin 2 theta =c has alpha and beta as its solut...
Text Solution
|
and tan alpha tan beta =
Text Solution
|
If alpha and beta are two distinct solutions of the equation a cos x +...
Text Solution
|
If alpha+beta=pi/2a n dbeta+gamma=alpha, then tanalpha equals 2(tanbet...
Text Solution
|
If tan alpha = ( 1)/( 7 ), tan beta = ( 1)/( 3), then cos 2 alpha=
Text Solution
|
If A = sin 45^(@)+ cos 45^(@) and B = sin 44^(@) + cos 44^(@) then
Text Solution
|
If costheta=(acosphi+b)/(a+bcosphi). Show that : tan.(theta)/(2)=pmsqr...
Text Solution
|
If cos theta =(cos alpha - cos beta)/( 1- cos alpha cos beta), then on...
Text Solution
|
If tanbeta=costhetatanalpha, then "tan"^(2)(theta)/(2)=
Text Solution
|
If tan^(2) (( pi )/( 4) + ( theta )/( 2)) = - ( a )/( b), then
Text Solution
|
If tan ( A+B) = 3 tan A, then ( sin 2 ( A+B) + sin 2A)/( sin 2B) is e...
Text Solution
|
If cos2B=(cos(A+C))/(cos(A-C)), then tan A, tan B, tan C are in
Text Solution
|
If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...
Text Solution
|
If sin(y+z-x), sin (z+x-y), sin (x+y-z) be in A.P., prove that tanx ta...
Text Solution
|
If t a n^2theta=2t a n^2varphi+1 , prove that cos2theta+s in^2varphi=0...
Text Solution
|
If A and B are positive acute angles satisfying the equalities 3 cos^(...
Text Solution
|
Givent that pi/2,alphaltpi then the expression sqrt((1-sinalpha)/(1+si...
Text Solution
|