Advertisements
Advertisements
प्रश्न
Prove the following identities:
`(1 + sin A)/(1 - sin A) = (cosec A + 1)/(cosec A - 1)`
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.
`(cos theta - sin theta + 1)/(cos theta + sin theta - 1) = cosec theta + cot theta`
Prove that:
`tanA/(1 - cotA) + cotA/(1 - tanA) = secA cosecA + 1`
Prove that:
`(sinA - cosA)(1 + tanA + cotA) = secA/(cosec^2A) - (cosecA)/(sec^2A)`
Write the value of `cosec^2 theta (1+ cos theta ) (1- cos theta).`
From the figure find the value of sinθ.
If x = a sin θ and y = b cos θ, what is the value of b2x2 + a2y2?
If A + B = 90°, show that sec2 A + sec2 B = sec2 A. sec2 B.
Choose the correct alternative:
sec2θ – tan2θ =?
If 3 sin A + 5 cos A = 5, then show that 5 sin A – 3 cos A = ± 3
Given that sin θ = `a/b`, then cos θ is equal to ______.