Trigonometric Equations 2

Find all the angles between 0° and 360° which satisfy the equation sec y(1 + tan y) = 6 cosec y. Solution: y= 63.4, 243.4, 108.4, 288.4 1/cosy (1 + tany) = 6(1/siny) 1 + tany = 6 cosy/siny 1 + tany = 6 coty tany + tan2y = 6 tany + tan2y – 6 […]

Trigonometric Equations

Solve sinx – 0.5 = 0 such that -360° < x < 360°. Solution: 30°, 150°, -330°, -210° Basic angle, a = 30° sinx = 1/2 x = angle 1 / 30° , angle 2/ (180° – 30°) x =   30°, 150°       -360°  -360 ° x = -330°, -210° x = 30°, 150°, -330°, -210°