What is the general solution for sin(x)=0.7 ?

The general solution for sin(x)=0.7 is x=0.77539…+2pin,x=pi-0.77539…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)=0.7

sin (x) = 0.7

x = 0.77539 \dots + 2 πn, x = π - 0.77539 \dots + 2 πn

Degrees

x = 44.42700 \dots^{\circ} + 36 0^{\circ} n, x = 135.57299 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (x) = 0.7

Apply trig inverse properties

sin (x) = 0.7

General solutions for

sin (x) = 0.7

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

x = arcsin (0.7) + 2 πn, x = π - arcsin (0.7) + 2 πn

x = arcsin (0.7) + 2 πn, x = π - arcsin (0.7) + 2 πn

Show solutions in decimal form

x = 0.77539 \dots + 2 πn, x = π - 0.77539 \dots + 2 πn

sin (x) = \frac{- 3}{2}

sin (\frac{x}{2}) = 3 - sin (\frac{x}{2})

sec (θ) = 2

2 cos^{2} (θ) - 3 cos (θ) + 1 = 0

cos (2 θ) = 1

What is the general solution for sin(x)=0.7 ?
The general solution for sin(x)=0.7 is x=0.77539…+2pin,x=pi-0.77539…+2pin