Advertisements
Advertisements
Question
If sin x + cos y = 1 and x = 30°, find the value of y
Advertisements
Solution
Given that x = 30°
sin x + cos y = 1
sin 30° + cos y = 1
cos y = 1 – sin 30°
cos y = 1 –`(1)/(2)`
cos y = `(1)/(2)`
cos y = cos 60°
y = 60°
APPEARS IN
RELATED QUESTIONS
In ΔABC, ∠B = 90° , AB = y units, BC = `(sqrt3)` units, AC = 2 units and angle A = x°, find:
- sin x°
- x°
- tan x°
- use cos x° to find the value of y.
If sin 3A = 1 and 0 < A < 90°, find cos 2A
Solve for 'θ': cot2(θ - 5)° = 3
If `sqrt(3)` sec 2θ = 2 and θ< 90°, find the value of
cos2 (30° + θ) + sin2 (45° - θ)
Find the value of: `sqrt((1 - sin^2 60°)/(1 + sin^2 60°)` If 3 tan2θ - 1 = 0, find the value
a. cosθ
b. sinθ
Evaluate the following: cosec 54° - sec 36°
Evaluate the following: `(sin36°)/(cos54°) + (sec31°)/("cosec"59°)`
Evaluate the following: `(tan42°)/(cot48°) + (cos33°)/(sin57°)`
Prove the following: `(tan(90° - θ)cotθ)/("cosec"^2 θ)` = cos2θ
If A + B = 90°, prove that `(tan"A" tan"B" + tan"A" cot"B")/(sin"A" sec"B") - (sin^2"B")/(cos^2"A")` = tan2A
