Prove that,cot ( theta + 15^(@))- tan(th...

Prove that,`cot ( theta + 15^(@))- tan(theta - 15^(@))=(4 cos 2 theta)/(1+2 sin 2 theta)`

Answer

Step by step text solution for Prove that,cot ( theta + 15^(@))- tan(theta - 15^(@))=(4 cos 2 theta)/(1+2 sin 2 theta) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES
CHHAYA PUBLICATION|Exercise Multiple Correct Answere Type|5 Videos
TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES
CHHAYA PUBLICATION|Exercise Integer Answer Type|5 Videos
TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES
CHHAYA PUBLICATION|Exercise Short Answer Type Questions|35 Videos
TRIGONOMETRIC RATIOS OF COMPOUND ANGLES
CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos
TRIGONOMETRIC RATIOS [OR FUNCTIONS] OF POSITIVE ACUTE ANGLES
CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

Prove that, cot theta - tan theta = 2cot 2 theta

Prove that tan (60^(@)-theta) tan (60^(@)+theta)=(2cos 2theta+1)/(2 cos 2 theta-1)

Knowledge Check

The value of cosec ^(2) theta cot ^(2) theta - sec ^(2) theta tan ^(2) theta -(cot ^(2) theta- tan ^(2) theta) (sec ^(2) theta cosec ^(2) theta -1) is-

A

1

B

0

C

`-1`

D

2

cot 2 theta + tan theta =

A

`sin 2 theta`

B

`cot2 theta`

C

`"cosec2 theta`

D

`tan2 theta`

Similar Questions

Explore conceptually related problems

Prove that, (1 + sin 2 theta - cos 2 theta)/(sin theta + cos theta)= 2 sin theta

Prove that, (cot theta - tan theta)/(1-2 sin ^(2) theta) = sec theta "cosec" theta

Prove that (cot theta -cos theta )/( cot theta +cos theta ) =(cos ec theta -1)/( cosec theta +1)

If tan(theta+15^@)= sqrt3 then sin theta+ cos theta =?

Prove that, 2 "cosec" 4 theta - sec2 theta = (1- tan theta)/(1+tan theta)"cosec" 2 theta

Prove that: (sin2theta)/(1+cos2theta)=tantheta

CHHAYA PUBLICATION-TRIGONOMETRIC RATIOS OF MULTIPLE ANGLES-Long Answer Type Questions

Prove that,cot ( theta + 15^(@))- tan(theta - 15^(@))=(4 cos 2 theta)/...
04:08
|
Prove that,tan (pi/4 + theta) + tan (pi/4 - theta) = 2 sec 2 theta
03:08
|
Prove that,cos^(3) theta cos 3 theta + sin^(3) theta sin 3 theta = cos...
04:10
|
Prove that,cos^(3) alpha + cos^(3) (120^(@) + alpha) + cos^(3) (240^(@...
05:08
|
Prove that,tan 70^(@) - tan 50^(@) + tan 10^(@) = sqrt3
05:39
|
Prove that,tan theta tan (pi/3 + theta)tan (pi/3 - theta) = tan 3 thet...
03:02
|
Prove that,tan theta + 2 tan 2theta + 4 tan 4 theta + 8 cot 8 theta = ...
04:00
|
Prove that,"cos" pi/11 "cos" (2pi)/11 "cos" (3pi)/11 "cos" (4pi)/11 "c...
05:07
|
Prove that,If" " theta = (2pi)/7, " show that," sec theta + sec2 theta...
09:35
|
Prove that,If " "15 theta = pi, "show that," cos theta cos2 theta cos3...
06:57
|
If" " n tan alpha = (n+1) tan beta " then show that", tan (alpha - bet...
04:35
|
If tan theta = cos2 alpha tan phi, prove that tan (phi - theta) = (ta...
07:18
|
If tan theta = sec 2 alpha, "show that", sin 2 theta = (1-tan^(4) alph...
03:29
|
Prove that,8 cos^(4) theta = 3 + 4 cos 2 theta + cos 4 theta
02:29
|
Prove that,8 sin^(4) theta = 3 - 4 cos 2 theta + cos 4 theta
02:48
|
Prove that,64cos^(3) theta sin^(4) theta = cos 7 theta - cos 5 theta -...
10:08
|
Prove that,sin^(2)A cos^(4) A = 1/16 + 1/32 cos2A - 1/16 cos 4 A - 1/3...
07:18
|
If tan theta = ( tan alpha - tan beta)/(1-tan alpha tan beta),"show th...
09:01
|
If " "alpha " and " beta " are positive acute angles and " cos 2 alpha...
04:55
|
"If " (tan x)/(tan y) = (1 + cos^(2) x)/(1 + sin^(2) x ) " show that "...
06:24
|