(sin(A - B))/(cos A cos B) + (sin (B - C...

`(sin(A - B))/(cos A cos B) + (sin (B - C))/( cos B cos C) + (sin(C - A))/(cos C cos A)` is

A

`sinA +sinB +sinC`

B

1

C

0

D

`cosA +cosB + cosC`

Verified by Experts

The correct Answer is:

C

TRIGONOMETRY
PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|27 Videos
SETS,RELATIONS AND FUNCATIONS
PREMIERS PUBLISHERS|Exercise II. Choose the correct option for the following. (M.C.Q)|35 Videos
TWO DIMENSIONAL ANALYTICAL GEOMETRY
PREMIERS PUBLISHERS|Exercise PROBLEM FOR PRACTICE (CHOOSE THE CORRECT OPTION)|28 Videos

Similar Questions

Explore conceptually related problems

if ( cos A + cos B )/( sin A + sin B ) = k ( (sin A - sin B)/ ( cos A- cos B)) then k is

Prove that cos (A + B) cos C - cos (B + C) cos A = sin B sin (C - A)

Expand cos ( A + B + C). Hence prove that cos A cos B cos C = sin A sin B cos C + sin B sin C cos A + sin C sin A cos B, if A + B + C = (pi)/(2) .

Prove that sin (A+B)= sin A cos B + cos A sin B.

Prove that cos (A + B) cos (A - B) = cos^(2) B - sin^(2) A

Prove that (sin (4A - 2B) + sin (4B - 2A))/(cos (4A - 2B) + cos (4B - 2A)) = tan (A + B)

In Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=

If cos(A-B)=3/5 and tan A tan B=2, then (a) cos A cos B=1/5 (b) sin A sin B=-2/5 (c) cos A cos B=-1/5 (d) sin A sin B=-1/5

Prove that cos (A + B) cos (A - B) = cos^(2) A - sin^(2) B = cos^(2) B- sin^(2) A