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
Prove the following trigonometric identities.
`(cot A - cos A)/(cot A + cos A) = (cosec A - 1)/(cosec A + 1)`
Prove the following identities:
`cosA/(1 - sinA) = sec A + tan A`
Prove that:
`(cosecA - sinA)(secA - cosA) = 1/(tanA + cotA)`
Prove the following identities:
`(sinA - cosA + 1)/(sinA + cosA - 1) = cosA/(1 - sinA)`
If `m = (cos θ - sin θ)` and `n = (cos θ + sin θ)`, show that `sqrt(m/n) + sqrt(n/m) = 2/sqrt(1 - tan^2θ)`.
If sin θ + sin2 θ = 1, then cos2 θ + cos4 θ =
Prove the following identity :
tanA+cotA=secAcosecA
Prove the following Identities :
`(cosecA)/(cotA+tanA)=cosA`
If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2α + cot2α, then the value of k is equal to
If 2sin2θ – cos2θ = 2, then find the value of θ.
