Advertisements
Advertisements
Question
Calculate the value of A, if (tan A - 1) (cosec 3A - 1) = 0
Solution
( tan A – 1) ( cosec 3A – 1) = 0
tan A – 1 = 0 and cosec 3A – 1 = 0
tan A = 1 and cosec 3A = 1
tan A = tan45° and cosec 3A = cosec90°
A = 45° and A = 30°
APPEARS IN
RELATED QUESTIONS
If 4 sin2 θ - 1= 0 and angle θ is less than 90°, find the value of θ and hence the value of cos2 θ + tan2θ.
Find the magnitude of angle A, if 2 tan 3A cos 3A - tan 3A + 1 = 2 cos 3A
Find the value of 'A', if `sqrt(3)cot"A"` = 1
If θ = 30°, verify that: sin 3θ = 4sinθ . sin(60° - θ) sin(60° + θ)
If θ = 15°, find the value of: cos3θ - sin6θ + 3sin(5θ + 15°) - 2 tan23θ
Find the length of AD. Given: ∠ABC = 60°, ∠DBC = 45° and BC = 24 cm.
Find the value 'x', if:
In the given figure, a rocket is fired vertically upwards from its launching pad P. It first rises 20 km vertically upwards and then 20 km at 60° to the vertical. PQ represents the first stage of the journey and QR the second. S is a point vertically below R on the horizontal level as P, find:
a. the height of the rocket when it is at point R.
b. the horizontal distance of point S from P.
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: sin53° + sec66° - sin50°
If secθ= cosec30° and θ is an acute angle, find the value of 4 sin2θ - 2 cos2θ.