Prove that: (cos8^@+"sin"8^@)/(cos8^@-"s...

Prove that: `(cos8^@+"sin"8^@)/(cos8^@-"sin"8^@)=t a n 53^@`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

TRIGONOMETRIC FUNCTIONS
RD SHARMA ENGLISH|Exercise All Questions|166 Videos
TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES
RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

Prove that: (cos8^(@)-sin8^(@))/(cos8^(@)+sin8^(@))=cot53^(@)

Prove that : cos4x=1-8sin^2xcos^2x

Prove that: cos20^(@)cos40^(@)cos80^(@)=1/8

Prove that: cos4A=1-8cos^2\ A+8cos^4\ A

Prove that: (sin9A-sin7A)/(cos7A-cos9A)=cot8A

Prove that : cos 4x = 1 - 8 sin^2 x cos^2 x .

Prove that sin20^(@)sin40^(@)sin80^(@)=(sqrt(3))/(8)

Prove that cos 20^(@) cos 40^(@) cos 80^(@) = (1)/(8).

Prove that: cos ^(4) ""(pi)/(8) + cos ^(4) ""(3pi)/(8) + sin ^(4) "" (5pi)/(8) + sin ^(4)""(7pi)/(8) = 3/2.

Prove that: cos^2 2x-cos^2 6x= sin4x sin8x

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions

Prove that: (tanA+tanB)/(tanA-tanB)=sin(A+B)/(sin(A-B)
04:04
|
Prove that: (cos 11^@+"sin"11^@)/(cos 11^@-"sin"11^@)=tan 56^@
04:53
|
Prove that: (cos8^@+"sin"8^@)/(cos8^@-"sin"8^@)=t a n 53^@
04:29
|
The value of : (cos9^@+sin9^@)/(cos9^@-sin9^@) is:
04:07
|
Prove that: sin(60^0-theta)cos(30^0+theta)+cos(60^0-theta)sin(30^0+the...
02:01
|
Prove that: sin((4pi)/9+7)cos(pi/9+7)-cos((4pi)/9+7)sin("pi/9+7)=(sqrt...
02:42
|
Prove that: sin((3pi)/8-5)cos( pi/8+5)+cos((3pi)/8-5)sin(pi/8+5)=1
02:33
|
Prove that :(tan69^@+tan 66^@)/(1-tan 69^@tan66^@)=-1
02:23
|
If tanA=5/6 and tanB=1/(11),\ p rov e\ t h a t\ A+B=pi/4
02:38
|
If tanA=m/(m-1)\ a n d tanB=1/(2m-1), then prove that A-B=\ pi/4
04:32
|
Prove that: cos^2 45^0-sin^2 15^0=(sqrt(3))/4
01:54
|
Prove that: sin^2(n+1)A-sin^2n A="sin"(2n+1)Asin A
02:18
|
Prove that: (sin(A+B)+"sin"(A-B))/(cos(A+B)+"cos"(A-B))=t a n A
02:19
|
Prove that: ("sin"(A-B))/(cos A cosB)+(sin(B-C))/(cos B cos C)+("sin"(...
04:17
|
Prove that: ("sin"(A-B))/(sin A sin B)+("sin"(B-C))/(sin B sin C)+("si...
01:56
|
Prove that: sin^2B=sin^2A+sin^2(A-B)-2sin A cos B sin(A-B)
03:28
|
Prove that: cos^2A+cos^2B-2cosA\ cos B cos\ (A+B)=sin^2(A+B)
03:31
|
Prove that: ("tan"(A+B))/("cot"(A-B))=\ (tan^2A-tan^2B)/(1-tan^2Atan^2...
02:42
|
If tan A= xtanB then prove that sin(A-B)/sin(A+B)=(x-1)/(x+1)
04:53
|
If tan(A+B)=x and tan(A-B)=y then find the values of tan2A and tan2B
02:04
|