What is the general solution for sin(2x)=cos(60) ?

The general solution for sin(2x)=cos(60) is x=15+180n,x=75+180n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(2x)=cos(60)

sin (2 x) = cos (6 0^{\circ})

x = 1 5^{\circ} + 18 0^{\circ} n, x = 7 5^{\circ} + 18 0^{\circ} n

Solution steps

sin (2 x) = cos (6 0^{\circ})

cos (6 0^{\circ}) = \frac{1}{2}

sin (2 x) = \frac{1}{2}

General solutions for

sin (2 x) = \frac{1}{2}

2 x = 3 0^{\circ} + 36 0^{\circ} n, 2 x = 15 0^{\circ} + 36 0^{\circ} n

Solve

2 x = 3 0^{\circ} + 36 0^{\circ} n : x = 1 5^{\circ} + 18 0^{\circ} n

Solve

2 x = 15 0^{\circ} + 36 0^{\circ} n : x = 7 5^{\circ} + 18 0^{\circ} n

x = 1 5^{\circ} + 18 0^{\circ} n, x = 7 5^{\circ} + 18 0^{\circ} n

tan (x) = \frac{1}{- 3}

3 sin (x) + 2 = sin (x)

sin (\frac{x}{2}) = \frac{1}{2}

(2 cos (x) + 1) (2 sin (x) - 3) = 0

sin (x) = - \frac{4}{7}

What is the general solution for sin(2x)=cos(60) ?
The general solution for sin(2x)=cos(60) is x=15+180n,x=75+180n