What is the general solution for sin(x)=-0.75 ?

The general solution for sin(x)=-0.75 is x=-0.84806…+2pin,x=pi+0.84806…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(x)=-0.75

sin (x) = - 0.75

x = - 0.84806 \dots + 2 πn, x = π + 0.84806 \dots + 2 πn

Degrees

x = - 48.59037 \dots^{\circ} + 36 0^{\circ} n, x = 228.59037 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = - 0.75

Apply trig inverse properties

sin (x) = - 0.75

General solutions for

sin (x) = - 0.75

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (- 0.75) + 2 πn, x = π + arcsin (0.75) + 2 πn

x = arcsin (- 0.75) + 2 πn, x = π + arcsin (0.75) + 2 πn

Show solutions in decimal form

x = - 0.84806 \dots + 2 πn, x = π + 0.84806 \dots + 2 πn

What is the general solution for sin(x)=-0.75 ?
The general solution for sin(x)=-0.75 is x=-0.84806…+2pin,x=pi+0.84806…+2pin