Ifsin(A-B)= sin A cosB-cos A sin B and c...

Ifsin(A-B)= sin A cosB-cos A sin B and cos(A-B) = cosA cosB + sin A sin B. Find the values of sin `15^@` and cos`15^@` .

Topper's Solved these Questions

INTRODUCTION TO TRIGONOMETRY
MBD|Exercise EXERCISE|176 Videos
COORDINATE GEOMETRY
MBD|Exercise EXERCISE|64 Videos
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES
MBD|Exercise EXERCISE|183 Videos

Similar Questions

Explore conceptually related problems

Given that cos (A + B) = cos A cos B-sin A sin B. Find the value of cos 105^@ .

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

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

sin (A + B) = sin A + sin B.

Prove that a cos A + b cos B + c cos C = 4R sin A sin B sin C

Prove that : sin(A- B) = sin A cos B -cos A sin B .

Evaluate : sin 15^@, cos 15^@, tan 15^@ .

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

If sin B= 1/2 find the value of 3 cosB- 4cos^3B .

If sin (A-B)= 1/2 , cos(A+B)= 1/2 . Find A and B.

MBD-INTRODUCTION TO TRIGONOMETRY-EXERCISE

Find the value theta in the following :- costheta=cos60^@ cos30^@ +sin...
Text Solution
|
Find the value theta in the following :- sin2theta=sin60^@cos30^@-cos...
Text Solution
|
Ifsin(A-B)= sin A cosB-cos A sin B and cos(A-B) = cosA cosB + sin A si...
Text Solution
|
Express cot 85^@ + cos 75^@ in terms of trigonometric ratios of angles...
Text Solution
|
Without using Trigonometric tables, evaluate:- 2(sin43^@)/(cos47^@)-(c...
Text Solution
|
Without using Trigonometric tables, evaluate:- (cos^2 20^@+cos^2 70^@)...
Text Solution
|
Without using Trigonometric tables, evaluate:- 2(cos67^@)/(sin23^@)-(t...
Text Solution
|
Evaluate : (sin70^@)/(cos 20^@)+(cosec36^@)/(sec54^@)-(2cos43^@cosec47...
Text Solution
|
Evaluate : (tan20^@)/(cot70^@) +(cot50^@)/(tan40^@)+(sin^2 20^@+sin^2 ...
Text Solution
|
Without using Trigonometric Tables evaluate the following :- sinthetac...
Text Solution
|
Evaluate : tan 15^@ tan25^@tan60^@tan65^@tan75^@ .
Text Solution
|
Evaluate : tan65^@/cot25^@ .
Text Solution
|
If sin 3A = cos (A- 26^@) where 3A is an acute angle, find the value o...
Text Solution
|
Evaluate : (cos80^@)/(sin10^@)+cos59^@ cosec31^@ .
Text Solution
|
Without using Trigonometric Tables evaluate the following :- sec70^@si...
Text Solution
|
Without using Trigonometric Tables evaluate the following :- (2cos38^@...
Text Solution
|
Without using Trigonometric Tables evaluate the following :- (cosec^2 ...
Text Solution
|
Without using Trigonometric Tables evaluate the following :- (cos35^@...
Text Solution
|
Without using Trigonometric Tables evaluate the following :- (cos58^@)...
Text Solution
|
Without using Trigonometric Tables evaluate the following :- ((tan20^@...
Text Solution
|