Advertisements
Advertisements
प्रश्न
9 sec2 A − 9 tan2 A = ______.
पर्याय
1
9
8
0
Advertisements
उत्तर
9 sec2 A − 9 tan2 A = 9.
Explanation:
9 sec2A − 9 tan2A
= 9 (sec2A − tan2A)
= 9 (1) ...[As sec2 A − tan2 A = 1]
= 9
Hence, alternative 9 is correct.
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`(1 + cos A)/sin A = sin A/(1 - cos A)`
If x = a sec θ cos ϕ, y = b sec θ sin ϕ and z = c tan θ, show that `x^2/a^2 + y^2/b^2 - x^2/c^2 = 1`
Prove the following identities:
(sec A – cos A) (sec A + cos A) = sin2 A + tan2 A
Prove the following identities:
`cot^2A((secA - 1)/(1 + sinA)) + sec^2A((sinA - 1)/(1 + secA)) = 0`
Prove that:
cos A (1 + cot A) + sin A (1 + tan A) = sec A + cosec A
`cosec theta (1+costheta)(cosectheta - cot theta )=1`
`cos^2 theta /((1 tan theta))+ sin ^3 theta/((sin theta - cos theta))=(1+sin theta cos theta)`
From the figure find the value of sinθ.
If \[sec\theta + tan\theta = x\] then \[tan\theta =\]
Prove the following identity :
`((1 + tan^2A)cotA)/(cosec^2A) = tanA`
Prove the following identity :
`2(sin^6θ + cos^6θ) - 3(sin^4θ + cos^4θ) + 1 = 0`
If x = acosθ , y = bcotθ , prove that `a^2/x^2 - b^2/y^2 = 1.`
Prove the following identities: cot θ - tan θ = `(2 cos^2 θ - 1)/(sin θ cos θ)`.
Prove the following identities.
`(sin^3"A" + cos^3"A")/(sin"A" + cos"A") + (sin^3"A" - cos^3"A")/(sin"A" - cos"A")` = 2
If `sqrt(3)` sin θ – cos θ = θ, then show that tan 3θ = `(3tan theta - tan^3 theta)/(1 - 3 tan^2 theta)`
Choose the correct alternative:
`(1 + cot^2"A")/(1 + tan^2"A")` = ?
If tan θ × A = sin θ, then A = ?
Prove that `(sintheta + tantheta)/cos theta` = tan θ(1 + sec θ)
If cosA + cos2A = 1, then sin2A + sin4A = 1.
