Advertisements
Advertisements
प्रश्न
Prove the following identities:
`(1 + sin A)/(1 - sin A) = (cosec A + 1)/(cosec A - 1)`
Advertisements
उत्तर
R.H.S = `(1/(sin A) + 1)/(1/(sin A) - 1)`
= `((1 + sin A)/sin A)/((1 - sin A)/sin A)`
= `((1 + sin A))/cancelsin A xx cancelsin A/((1 - sin A))`
= `(1 + sin A)/(1 - sin A)`
∴ R.H.S = L.H.S
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
tan2θ cos2θ = 1 − cos2θ
Prove the following identities:
`1/(tan A + cot A) = cos A sin A`
Prove the following identities:
(sec A – cos A) (sec A + cos A) = sin2 A + tan2 A
Prove the following identities:
(1 + cot A – cosec A)(1 + tan A + sec A) = 2
`(1+tan^2theta)(1+cot^2 theta)=1/((sin^2 theta- sin^4theta))`
If `sqrt(3) sin theta = cos theta and theta ` is an acute angle, find the value of θ .
\[\frac{\sin \theta}{1 + \cos \theta}\]is equal to
Prove the following identity :
`sqrt((1 + sinq)/(1 - sinq)) + sqrt((1- sinq)/(1 + sinq))` = 2secq
tan θ cosec2 θ – tan θ is equal to
Prove that `(cot A)/(1 - tan A) + (tan A)/(1 - cot A) = 1 + tan A + cot A = sec A . "cosec" A + 1`.
