Advertisements
Advertisements
प्रश्न
cot θ . tan θ = ?
विकल्प
1
0
2
`sqrt(2)`
Advertisements
उत्तर
1
Explanation:
`cot θ . tan θ = 1/(tan θ) . tan θ`
= 1
APPEARS IN
संबंधित प्रश्न
Prove that:
sec2θ + cosec2θ = sec2θ x cosec2θ
Prove the following identities:
`(i) cos4^4 A – cos^2 A = sin^4 A – sin^2 A`
`(ii) cot^4 A – 1 = cosec^4 A – 2cosec^2 A`
`(iii) sin^6 A + cos^6 A = 1 – 3sin^2 A cos^2 A.`
Prove the following trigonometric identities.
sec A (1 − sin A) (sec A + tan A) = 1
Prove the following trigonometric identities.
(1 + cot A − cosec A) (1 + tan A + sec A) = 2
Prove the following identities:
cosec4 A – cosec2 A = cot4 A + cot2 A
Prove the following identities:
(1 + cot A – cosec A)(1 + tan A + sec A) = 2
If `( sin theta + cos theta ) = sqrt(2) , " prove that " cot theta = ( sqrt(2)+1)`.
Write the value of cosec2 (90° − θ) − tan2 θ.
If a cos θ + b sin θ = m and a sin θ − b cos θ = n, then a2 + b2 =
Prove the following identity :
`1/(tanA + cotA) = sinAcosA`
Without using trigonometric identity , show that :
`cos^2 25^circ + cos^2 65^circ = 1`
Prove that ( 1 + tan A)2 + (1 - tan A)2 = 2 sec2A
Prove the following identities:
`1/(sin θ + cos θ) + 1/(sin θ - cos θ) = (2sin θ)/(1 - 2 cos^2 θ)`.
Prove the following identities.
`sqrt((1 + sin theta)/(1 - sin theta)) + sqrt((1 - sin theta)/(1 + sin theta))` = 2 sec θ
If (sin α + cosec α)2 + (cos α + sec α)2 = k + tan2α + cot2α, then the value of k is equal to
Prove that `1/("cosec" θ - cot θ) = "cosec" θ + cot θ`.
Prove that `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`.
Prove that 2(sin6A + cos6A) – 3(sin4A + cos4A) + 1 = 0.
`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.
