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
संबंधित प्रश्न
(1 + tan θ + sec θ) (1 + cot θ − cosec θ) = ______.
If 4 cos2 A – 3 = 0, show that: cos 3 A = 4 cos3 A – 3 cos A
Prove that:
`"tan A"/(1 + "tan"^2 "A")^2 + "Cot A"/(1 + "Cot"^2 "A")^2 = "sin A cos A"`.
Without using trigonometric identity , show that :
`sec70^circ sin20^circ - cos20^circ cosec70^circ = 0`
If sec θ = x + `1/(4"x"), x ≠ 0,` find (sec θ + tan θ)
Prove that `(sin θ tan θ)/(1 - cos θ) = 1 + sec θ.`
Prove that `tan A/(1 + tan^2 A)^2 + cot A/(1 + cot^2 A)^2 = sin A.cos A`
If cos A + cos2A = 1, then sin2A + sin4 A = ?
If 1 + sin2α = 3 sinα cosα, then values of cot α are ______.
Prove the following that:
`tan^3θ/(1 + tan^2θ) + cot^3θ/(1 + cot^2θ)` = secθ cosecθ – 2 sinθ cosθ
