What is the general solution for sin(110-x/2)=-sin(70) ?

The general solution for sin(110-x/2)=-sin(70) is x=-720n+220-2(-1.22173…),x=-360-720n+80

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(110-x/2)=-sin(70)

sin (11 0^{\circ} - \frac{x}{2}) = - sin (7 0^{\circ})

x = - 72 0^{\circ} n + 22 0^{\circ} - 2 (- 1.22173 \dots), x = - 36 0^{\circ} - 72 0^{\circ} n + 8 0^{\circ}

Solution steps

sin (11 0^{\circ} - \frac{x}{2}) = - sin (7 0^{\circ})

Apply trig inverse properties

11 0^{\circ} - \frac{x}{2} = arcsin (- sin (7 0^{\circ})) + 36 0^{\circ} n, 11 0^{\circ} - \frac{x}{2} = 18 0^{\circ} + arcsin (sin (7 0^{\circ})) + 36 0^{\circ} n

Solve

11 0^{\circ} - \frac{x}{2} = arcsin (- sin (7 0^{\circ})) + 36 0^{\circ} n : x = - 72 0^{\circ} n + 22 0^{\circ} - 2 arcsin (- sin (7 0^{\circ}))

Solve

11 0^{\circ} - \frac{x}{2} = 18 0^{\circ} + arcsin (sin (7 0^{\circ})) + 36 0^{\circ} n : x = - 36 0^{\circ} - 72 0^{\circ} n + 8 0^{\circ}

x = - 72 0^{\circ} n + 22 0^{\circ} - 2 arcsin (- sin (7 0^{\circ})), x = - 36 0^{\circ} - 72 0^{\circ} n + 8 0^{\circ}

Show solutions in decimal form

x = - 72 0^{\circ} n + 22 0^{\circ} - 2 (- 1.22173 \dots), x = - 36 0^{\circ} - 72 0^{\circ} n + 8 0^{\circ}

(2 sin (x) - 1) (sin (x) + 0.5) = 0

tan (θ) - 2 cos (θ) tan (θ) = 0

tan (x) = sec^{2} (x) - 1

5 cos (x) = - 2 sin^{2} (x) + 4, 0 \leq x < 2 π

tan (x) = \frac{4 3}{4}

What is the general solution for sin(110-x/2)=-sin(70) ?
The general solution for sin(110-x/2)=-sin(70) is x=-720n+220-2(-1.22173…),x=-360-720n+80