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
Solve the following equation for A, if sin 3 A = `sqrt3 /2`
Find the magnitude of angle A, if 2 sin A cos A - cos A - 2 sin A + 1 = 0
If sin 3A = 1 and 0 < A < 90°, find `tan^2A - (1)/(cos^2 "A")`
Find the value of 'A', if 2cos 3A = 1
If θ = 30°, verify that: sin 3θ = 4sinθ . sin(60° - θ) sin(60° + θ)
If A = B = 60°, verify that: tan(A - B) = `(tan"A" - tan"B")/(1 + tan"A" tan"B"")`
If θ < 90°, find the value of: `tan^2θ - (1)/cos^2θ`
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
Find the value of 'x' in each of the following:
Prove the following: sin230° + cos230° = `(1)/(2)sec60°`
