Advertisements
Advertisements
प्रश्न
If ` cot A= 4/3 and (A+ B) = 90° ` ,what is the value of tan B?
Advertisements
उत्तर
We have ,
`cot A = 4/3`
⇒ ` cot (90° - B ) = 4/3 (As , A+ B = 90° )`
∴ tanB = `4/3`
APPEARS IN
संबंधित प्रश्न
Prove the following trigonometric identities.
`tan theta - cot theta = (2 sin^2 theta - 1)/(sin theta cos theta)`
Prove the following identities:
`tan A - cot A = (1 - 2cos^2A)/(sin A cos A)`
Show that : tan 10° tan 15° tan 75° tan 80° = 1
If sec A + tan A = p, show that:
`sin A = (p^2 - 1)/(p^2 + 1)`
` tan^2 theta - 1/( cos^2 theta )=-1`
`(cos ec^theta + cot theta )/( cos ec theta - cot theta ) = (cosec theta + cot theta )^2 = 1+2 cot^2 theta + 2cosec theta cot theta`
Write the value of ` sec^2 theta ( 1+ sintheta )(1- sintheta).`
If `secθ = 25/7 ` then find tanθ.
\[\frac{\tan \theta}{\sec \theta - 1} + \frac{\tan \theta}{\sec \theta + 1}\] is equal to
If cos A + cos2 A = 1, then sin2 A + sin4 A =
Prove the following identity :
secA(1 + sinA)(secA - tanA) = 1
Prove the following identity :
`tanA - cotA = (1 - 2cos^2A)/(sinAcosA)`
Prove the following identities.
sec6 θ = tan6 θ + 3 tan2 θ sec2 θ + 1
Prove the following identities.
(sin θ + sec θ)2 + (cos θ + cosec θ)2 = 1 + (sec θ + cosec θ)2
If sin θ + sin2 θ = 1 show that: cos2 θ + cos4 θ = 1
Prove that `"cosec" θ xx sqrt(1 - cos^2theta)` = 1
Prove that `"cot A"/(1 - cot"A") + "tan A"/(1 - tan "A")` = – 1
If cosec A – sin A = p and sec A – cos A = q, then prove that `("p"^2"q")^(2/3) + ("pq"^2)^(2/3)` = 1
Prove the following identity:
(sin2θ – 1)(tan2θ + 1) + 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.
