Advertisements
Advertisements
Question
If ` cot A= 4/3 and (A+ B) = 90° ` ,what is the value of tan B?
Advertisements
Solution
We have ,
`cot A = 4/3`
⇒ ` cot (90° - B ) = 4/3 (As , A+ B = 90° )`
∴ tanB = `4/3`
APPEARS IN
RELATED QUESTIONS
if `cos theta = 5/13` where `theta` is an acute angle. Find the value of `sin theta`
As observed from the top of an 80 m tall lighthouse, the angles of depression of two ships on the same side of the lighthouse of the horizontal line with its base are 30° and 40° respectively. Find the distance between the two ships. Give your answer correct to the nearest meter.
Prove the following trigonometric identities.
(1 + tan2θ) (1 − sinθ) (1 + sinθ) = 1
Prove the following trigonometric identities.
`sqrt((1 - cos A)/(1 + cos A)) = cosec A - cot A`
Prove the following identities:
`sqrt((1 + sinA)/(1 - sinA)) = cosA/(1 - sinA)`
Prove that:
(sin A + cos A) (sec A + cosec A) = 2 + sec A cosec A
`1/((1+tan^2 theta)) + 1/((1+ tan^2 theta))`
`1+ (cot^2 theta)/((1+ cosec theta))= cosec theta`
cosec4 θ − cosec2 θ = cot4 θ + cot2 θ
Write the value of `3 cot^2 theta - 3 cosec^2 theta.`
If `cos theta = 2/3 , " write the value of" (4+4 tan^2 theta).`
If sin θ = `11/61`, find the values of cos θ using trigonometric identity.
What is the value of (1 + cot2 θ) sin2 θ?
(cosec θ − sin θ) (sec θ − cos θ) (tan θ + cot θ) is equal to
Prove the following identity :
( 1 + cotθ - cosecθ) ( 1 + tanθ + secθ)
Prove the following identity :
`(1 + sinθ)/(cosecθ - cotθ) - (1 - sinθ)/(cosecθ + cotθ) = 2(1 + cotθ)`
Find A if tan 2A = cot (A-24°).
Prove that : `1 - (cos^2 θ)/(1 + sin θ) = sin θ`.
To prove cot θ + tan θ = cosec θ × sec θ, complete the activity given below.
Activity:
L.H.S. = `square`
= `square/(sinθ) + (sinθ)/(cosθ)`
= `(cos^2θ + sin^2θ)/square`
= `1/(sinθ.cosθ)` ...`[cos^2θ + sin^2θ = square]`
= `1/(sinθ) xx 1/square`
= `square`
= R.H.S.
Show that `(cos^2(45^circ + θ) + cos^2(45^circ - θ))/(tan(60^circ + θ) tan(30^circ - θ)) = 1`
