Advertisements
Advertisements
प्रश्न
Prove that `(cos(90^circ - A))/(sin A) = (sin(90^circ - A))/(cos A)`.
Advertisements
उत्तर
L.H.S. = `(cos(90^circ - A))/(sin A)`
= `(sin A)/(sin A)`
= 1
R.H.S. = `(sin(90^circ - A))/(cos A)`
= `(cos A)/(cos A)`
= 1
∴ L.H.S. = R.H.S.
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`tan theta + 1/tan theta` = sec θ.cosec θ
Prove the following trigonometric identities.
`1 + cot^2 theta/(1 + cosec theta) = cosec theta`
Prove the following trigonometric identities.
`(1 + cos theta - sin^2 theta)/(sin theta (1 + cos theta)) = cot theta`
Prove the following trigonometric identities.
if `T_n = sin^n theta + cos^n theta`, prove that `(T_3 - T_5)/T_1 = (T_5 - T_7)/T_3`
Prove the following trigonometric identities.
sin2 A cos2 B − cos2 A sin2 B = sin2 A − sin2 B
Prove the following identities:
`1/(1 + cosA) + 1/(1 - cosA) = 2cosec^2A`
Prove the following identities:
`sqrt((1 - cosA)/(1 + cosA)) = cosec A - cot A`
If x = a cos θ and y = b cot θ, show that:
`a^2/x^2 - b^2/y^2 = 1`
Define an identity.
The value of sin ( \[{45}^° + \theta) - \cos ( {45}^°- \theta)\] is equal to
Prove the following identity :
`sec^2A + cosec^2A = sec^2Acosec^2A`
Prove the following identity :
`(cosA + sinA)^2 + (cosA - sinA)^2 = 2`
If sinA + cosA = m and secA + cosecA = n , prove that n(m2 - 1) = 2m
Express (sin 67° + cos 75°) in terms of trigonometric ratios of the angle between 0° and 45°.
Prove that: 2(sin6θ + cos6θ) - 3 ( sin4θ + cos4θ) + 1 = 0.
Prove that sin θ sin( 90° - θ) - cos θ cos( 90° - θ) = 0
Prove that: sin4 θ + cos4θ = 1 - 2sin2θ cos2 θ.
cos 45° = ?
(sec θ + tan θ) . (sec θ – tan θ) = ?
Prove that sec2θ + cosec2θ = sec2θ × cosec2θ.
