If a* cos ( theta + alpha ) = b cos ( ...

If `a* cos ( theta + alpha ) = b cos ( theta - alpha ) , " then " ( a+ b) tan theta = `

`(a+ b) cot alpha `

`(a-b) cot alpha `

`(a+b) cot beta `

`(a-b) cot beta `

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGONOMETRIC RATIOS AND IDENTITIES
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 E ( TRIGONOMETRIC IDENTITIES )|49 Videos
TRIGONOMETRIC RATIOS AND IDENTITIES
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 F ( PERIODIC FUNCTIONS )|39 Videos
TRIGONOMETRIC RATIOS AND IDENTITIES
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos
TRIGONOMETRIC EQUATIONS
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

If sin ( theta + alpha ) = cos ( theta + alpha ) , then tan theta =

If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " then " tan"((pi)/4- theta )=

If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( theta + alpha ) =

cos ( theta + alpha)* cos ( theta - alpha) + sin ( theta + alpha) * sin (theta - alpha )=

Statement-I: If mcos(theta + alpha) =ncos(theta-alpha) then tan alpha tan theta =(m+n)/(m-n) Statement:II If (sin(alpha + beta))/(sin(alpha-beta)) =(a+b)/(a-b) , then tan alpha cot beta =a/b Which of the above statements is correct?

If cos (theta - alpha) , cos theta , cos (theta + alpha ) are in H.P. then cos theta .sec"" (alpha )/(2) =

If sec ( theta - alpha ) , sec theta , sec ( theta + alpha ) are in A.P. then cos theta =

If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " then " tan^(2)""((theta )/(2)) tan^(2)""((beta)/(2))=

Statement I : If m cos(theta+alpha)=n cos (theta-alpha) then tan theta.tan alpha=(m+n)/(m-n) Statement II : If (sin(alpha+beta))/(sin(alpha-beta))=(a+b)/(a-b) then tan alpha.cot beta=(a)/(b) Which of the above statements is correct ?

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 D ( TRANSFORMATIONS )

If sin (y+z-x), sin (z+x-y), sin (x+y-z) are in A. P , then prove that...
Text Solution
|
If cos 2B=(cos (A+C))/(cos(A-C)) , then tan A , tan B , tan C are in
Text Solution
|
If a* cos ( theta + alpha ) = b cos ( theta - alpha ) , " then " ( a...
Text Solution
|
If ( sin (x+y))/(sin (x-y))=(a+b)/(a-b) " then " ( tan x)/(tan y)=
Text Solution
|
If cos (A+B) sin (C+D)= cos(A-B)* sin(C-D), then cot A cot B cot C =
Text Solution
|
If tan (alpha + theta ) = n* tan ( alpha - theta ) , "then " (n +1) s...
Text Solution
|
If cos (x-y)=3 * cos (x+y) , " then " cot x* cot y=
Text Solution
|
If sin theta = n sin (theta + 2 alpha ) , " then " (1- n) tan ( thet...
Text Solution
|
If m sin theta = n sin ( 2alpha + theta ) , " then " (m+n) tan alpha =
Text Solution
|
If cos theta = cos alpha cos beta , " then " cot^(2)""(beta)/(2)=
Text Solution
|
If ( sin ( theta + alpha ))/( cos ( theta - alpha ))=(1- m)/(1+m) , " ...
Text Solution
|
(cos x )/( cos (x-2y))= lambda implies tan(x-y) tan y=
Text Solution
|
If ( cos ( theta1- theta 2 ))/(cos ( theta1+ theta2))+( cos ( theta3 +...
Text Solution
|
If tan""((theta)/(2))=sqrt([(1-e)/(1+e)]) tan""((alpha)/(2)) then cos...
Text Solution
|
If cos theta = ( cos alpha - cos beta )/(1- cos alpha cos beta ) " the...
Text Solution
|
cos A =(3)/4 implies 32 sin""((A)/(2)) sin""((5A)/(2))=
Text Solution
|
If xy+yz+zx=1, " then " (x)/( 1+x^(2))+(y)/(1+y^2)+(z)/(1+z^(2))=
Text Solution
|
If sin alpha + sin beta = a , cos alpha + cos beta = b " then sin ( ...
Text Solution
|
If sin alpha + sin beta = a , cos alpha + cos beta = b " then cos ( ...
Text Solution
|
If cos alpha + cos beta = a, sin alpha + sin beta = b and theta is the...
Text Solution
|