Advertisements
Advertisements
प्रश्न
Prove the following identities:
`(1 + (secA - tanA)^2)/(cosecA(secA - tanA)) = 2tanA`
Advertisements
उत्तर
`(1 + (secA - tanA)^2)/(cosecA(secA - tanA))`
= `((sec^2A - tan^2A) + (secA - tanA)^2)/(cosecA(secA - tanA))`
= `((secA - tanA)(secA + tanA) + (secA + tanA)^2)/(cosecA(secA - tanA))`
= `((secA + tanA) + (secA - tanA))/(cosecA)`
= `(2secA)/(cosecA)`
= `2(1/cosA)/(1/sinA)`
= 2 tanA
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
tan2θ cos2θ = 1 − cos2θ
Prove the following identities:
sec2A + cosec2A = sec2A . cosec2A
Prove the following identities:
(cos A + sin A)2 + (cos A – sin A)2 = 2
Prove the following identities:
`sinA/(1 - cosA) - cotA = cosecA`
If sin θ = `11/61`, find the values of cos θ using trigonometric identity.
If a cot θ + b cosec θ = p and b cot θ − a cosec θ = q, then p2 − q2
Prove the following identity :
`tanA - cotA = (1 - 2cos^2A)/(sinAcosA)`
Prove that `(tan θ)/(cot(90° - θ)) + (sec (90° - θ) sin (90° - θ))/(cosθ. cosec θ) = 2`.
Which is not correct formula?
If sin A = `1/2`, then the value of sec A is ______.
