What is the general solution for 1500=250*8*cos(θ) ?

The general solution for 1500=250*8*cos(θ) is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

1500=2508cos(θ)

1500 = 250 \cdot 8 \cdot cos (θ)

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

Solution steps

1500 = 250 \cdot 8 cos (θ)

Switch sides

250 \cdot 8 cos (θ) = 1500

Divide both sides by

2000

cos (θ) = \frac{3}{4}

Apply trig inverse properties

θ = arccos (\frac{3}{4}) + 2 πn, θ = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = 0.72273 \dots + 2 πn, θ = 2 π - 0.72273 \dots + 2 πn

- sin (2 x) = sin (4 x)

sin (x) = - 0.61

2 cos (3 x) + 2 = 0

cos (2 x) - sin (- x) = 0

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

What is the general solution for 1500=250*8*cos(θ) ?
The general solution for 1500=250*8*cos(θ) is θ=0.72273…+2pin,θ=2pi-0.72273…+2pin