Advertisements
Advertisements
प्रश्न
Prove the following identities:
`sqrt((1 - sinA)/(1 + sinA)) = cosA/(1 + sinA)`
Advertisements
उत्तर
L.H.S. = `sqrt((1 - sinA)/(1 + sinA))`
= `sqrt((1 - sinA)/(1 + sinA) xx (1 + sinA)/(1 + sinA))`
= `sqrt((1 - sin^2A)/(1 + sinA)^2)`
= `sqrt(cos^2A/(1 + sinA)^2)`
= `cosA/(1 + sinA)` = R.H.S.
संबंधित प्रश्न
Prove the following trigonometric identities
cosec6θ = cot6θ + 3 cot2θ cosec2θ + 1
Prove the following identities:
(cos A + sin A)2 + (cos A – sin A)2 = 2
Prove the following identities:
`(1+ sin A)/(cosec A - cot A) - (1 - sin A)/(cosec A + cot A) = 2(1 + cot A)`
`sqrt((1 + sin θ)/(1 - sin θ)) = sec θ + tan θ`
Write True' or False' and justify your answer the following :
The value of sin θ+cos θ is always greater than 1 .
If sec θ + tan θ = m, show that `(m^2 - 1)/(m^2 + 1) = sin theta`
Prove that cos θ sin (90° - θ) + sin θ cos (90° - θ) = 1.
Prove that identity:
`(sec A - 1)/(sec A + 1) = (1 - cos A)/(1 + cos A)`
Prove that `(sintheta + "cosec" theta)/sin theta` = 2 + cot2θ
If 2sin2β − cos2β = 2, then β is ______.
