Advertisements
Advertisements
प्रश्न
Prove the following identity :
`(1 + sinA)/(1 - sinA) = (cosecA + 1)/(cosecA - 1)`
Advertisements
उत्तर
LHS = `(1 + sinA)/(1 - sinA)`
RHS = `(cosecA + 1)/(cosecA - 1) = (1/sinA + 1)/(1/sinA - 1)`
= `(1 + sinA)/(1 - sinA)`
APPEARS IN
संबंधित प्रश्न
If a cos θ + b sin θ = m and a sin θ – b cos θ = n, prove that a2 + b2 = m2 + n2
Prove the following identities:
sec4 A (1 – sin4 A) – 2 tan2 A = 1
`(tan theta)/((sec theta -1))+(tan theta)/((sec theta +1)) = 2 sec theta`
If `( cosec theta + cot theta ) =m and ( cosec theta - cot theta ) = n, ` show that mn = 1.
If cosec θ − cot θ = α, write the value of cosec θ + cot α.
Prove the following identity :
`sec^2A.cosec^2A = tan^2A + cot^2A + 2`
Find the value of ( sin2 33° + sin2 57°).
Prove that:
`sqrt(( secθ - 1)/(secθ + 1)) + sqrt((secθ + 1)/(secθ - 1)) = 2 "cosec"θ`
Prove that `(1 + sec theta - tan theta)/(1 + sec theta + tan theta) = (1 - sin theta)/cos theta`
(sec2 θ – 1) (cosec2 θ – 1) is equal to ______.
