Advertisements
Advertisements
प्रश्न
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = sinA/(1 + cosA)`
Advertisements
उत्तर
`sqrt((1 - cosA)/(1 + cosA))`
= `sqrt((1 - cosA)/(1 + cosA) xx (1 + cosA)/(1 + cosA))`
= `sqrt((1 - cos^2A)/(1 + cosA)^2)`
= `sqrt(sin^2A/(1 + cosA)^2)`
= `sinA/(1 + cosA)`
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identity:
`sqrt((1 + sin A)/(1 - sin A)) = sec A + tan A`
Show that : tan 10° tan 15° tan 75° tan 80° = 1
Prove the following identities:
cosec4 A (1 – cos4 A) – 2 cot2 A = 1
Prove the following identities:
(1 + tan A + sec A) (1 + cot A – cosec A) = 2
`1/((1+ sin θ)) + 1/((1 - sin θ)) = 2 sec^2 θ`
Write the value of tan1° tan 2° ........ tan 89° .
If sec θ + tan θ = x, write the value of sec θ − tan θ in terms of x.
Prove the following identity :
`(1 - tanA)^2 + (1 + tanA)^2 = 2sec^2A`
Prove the following identity :
`(cotA + tanB)/(cotB + tanA) = cotAtanB`
Prove that `(tan(90 - θ) + cot(90 - θ))/("cosec" θ) = sec θ`.
