Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
1 + tan2 θ = ?
विकल्प
Sin2 θ
Sec2 θ
Cosec2 θ
Cot2 θ
Advertisements
उत्तर
sec2θ
Explanation:
1 + tan2θ = sec2θ
APPEARS IN
संबंधित प्रश्न
Prove that `cosA/(1+sinA) + tan A = secA`
Prove that `(sin theta)/(1-cottheta) + (cos theta)/(1 - tan theta) = cos theta + sin theta`
Prove the following trigonometric identities.
tan2θ cos2θ = 1 − cos2θ
Prove the following trigonometric identities
sec4 A(1 − sin4 A) − 2 tan2 A = 1
if `x/a cos theta + y/b sin theta = 1` and `x/a sin theta - y/b cos theta = 1` prove that `x^2/a^2 + y^2/b^2 = 2`
Prove the following identities:
`1 - cos^2A/(1 + sinA) = sinA`
`1+((tan^2 theta) cot theta)/(cosec^2 theta) = tan theta`
Write the value of `(sin^2 theta 1/(1+tan^2 theta))`.
If `cos B = 3/5 and (A + B) =- 90° ,`find the value of sin A.
Prove that `(sinθ - cosθ + 1)/(sinθ + cosθ - 1) = 1/(secθ - tanθ)`
If x = a sec θ and y = b tan θ, then b2x2 − a2y2 =
Prove the following identity :
`sec^2A.cosec^2A = tan^2A + cot^2A + 2`
Prove the following identity :
`sin^4A + cos^4A = 1 - 2sin^2Acos^2A`
Prove the following identity :
`cosecA + cotA = 1/(cosecA - cotA)`
If sin θ = `1/2`, then find the value of θ.
The value of sin2θ + `1/(1 + tan^2 theta)` is equal to
Prove that `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`.
If `sin θ + cos θ = sqrt(3)`, then show that tan θ + cot θ = 1.
Let x1, x2, x3 be the solutions of `tan^-1((2x + 1)/(x + 1)) + tan^-1((2x - 1)/(x - 1))` = 2tan–1(x + 1) where x1 < x2 < x3 then 2x1 + x2 + x32 is equal to ______.
`1/sin^2θ - 1/cos^2θ - 1/tan^2θ - 1/cot^2θ - 1/sec^2θ - 1/("cosec"^2θ) = -3`, then find the value of θ.
