Advertisements
Advertisements
Question
Solve for x : tan2 (x - 5°) = 3
Advertisements
Solution
tan2 (x – 5°) = 3
tan (x – 5°) = `sqrt3`
tan (x – 5°) = tan 60°
x – 5° = 60°
x = 65°
RELATED QUESTIONS
Solve the following equation for A, if sin 3 A = `sqrt3 /2`
Solve for x : 3 tan2 (2x - 20°) = 1
Solve for x : sin2 60° + cos2 (3x- 9°) = 1
Find the value of 'A', if `sqrt(3)cot"A"` = 1
If `sqrt(3)`sec 2θ = 2 and θ< 90°, find the value of θ
In the given figure, PQ = 6 cm, RQ = x cm and RP = 10 cm, find
a. cosθ
b. sin2θ- cos2θ
c. Use tanθ to find the value of RQ
Find x and y, in each of the following figure:
In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
a. AB is `sqrt(3)` times of BC.
B. BC is `sqrt(3)` times of BC.
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cosec64° + sec70°
If tan4θ = cot(θ + 20°), find the value of θ if 4θ is an acute angle.
