Prove that: sqrt((sectheta-1)/(sectheta+...

Prove that: `sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sectheta-1))=2\ cos e c\ theta`

Text Solution

AI Generated Solution

Topper's Solved these Questions

TRIANGLES
RD SHARMA|Exercise All Questions|361 Videos
TRIGONOMETRIC RATIOS
RD SHARMA|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

Prove that : sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(sec theta-1))=2"cosec"theta

Prove that: sqrt((sectheta -1)/(sec theta +1)) + sqrt((sec theta +1)/(sec theta -1)) = "2cosec" theta

Prove that sqrt((cosectheta-1)/(cosectheta+1))+sqrt((cosectheta+1)/(cosectheta-1))=2sectheta

((cosectheta-1)(cosectheta+1))/((sectheta-1)(sectheta+1))

Prove that: sqrt((1-sintheta)/(1+sintheta))=sectheta -tan theta .

Prove that sqrt((1+sintheta)/(1-sin theta))=sectheta+tantheta .

Prove that : (tan theta)/(sectheta+1)-(tantheta)/(1-sectheta)=2cosec theta

Prove that- (sectheta+tantheta)/(sec-tantheta)=((1+sintheta)/costheta)^2

(tantheta+sectheta-1)/(tantheta-sectheta+1)=

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions

If cos e c\ theta+cottheta=m and cos e c\ theta-cottheta=n , prove ...
Text Solution
|
If cosA+cos^2A=1, find the value of sin^2A+sin^4A.
Text Solution
|
Prove that: sqrt((sectheta-1)/(sectheta+1))+sqrt((sectheta+1)/(secthet...
Text Solution
|
Prove that sqrt((1+sintheta)/(1-sintheta))+sqrt((1-sintheta)/(1+sinthe...
Text Solution
|
Prove that sqrt((1+costheta)/(1-costheta))+sqrt((1-costheta)/(1+costhe...
Text Solution
|
Prove that: (sectheta-1)/(sectheta+1)=((sintheta)/(1+costheta))^2
Text Solution
|
Given that: (1+cosalpha)(1+cosbeta)(1+cosgamma)=(1-cosalpha)(1-cosbeta...
Text Solution
|
If x=asecthetacosvarphi,\ \ y=bsecthetasinvarphi and z=ctantheta , sho...
Text Solution
|
If sintheta=3/5 , find the values of other trigonometric ratios.
Text Solution
|
If cottheta=9/(40) , find the values of cos e c\ theta and sectheta...
Text Solution
|
If costheta=1/2 , find the value of (2sectheta)/(1+tan^2theta)
Text Solution
|
If tantheta=(12)/5 , find the value of (1+sintheta)/(1-sintheta)
Text Solution
|
If sintheta=3/5 , find the value of (tantheta+sectheta)^2
Text Solution
|
If tantheta=3/4 , find the value of (1-costheta)/(1+costheta) .
Text Solution
|
If costheta=3/5 , find the value of cottheta+cos e c\ theta .
Text Solution
|
If sintheta+costheta=sqrt(2)sin(90o-theta) , determine cottheta .
Text Solution
|
If tantheta=1/(sqrt(7)) , find the value of (cos e c^2theta-sec^2th...
Text Solution
|
If tantheta+cottheta=2 , find the value of tan^2theta+cot^2theta .
Text Solution
|
If cos e c\ A=sqrt(2) , find the value of (2sin^2A+3cot^2A)/(4tan^2...
Text Solution
|
If sintheta=a/(sqrt(a^2+b^2)),\ 0<theta<90o , find the values of co...
Text Solution
|