What is the general solution for 400=812.25+400-1140cos(a) ?

The general solution for 400=812.25+400-1140cos(a) is a=0.77774…+2pin,a=2pi-0.77774…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

400=812.25+400-1140cos(a)

400 = 812.25 + 400 - 1140 cos (a)

a = 0.77774 \dots + 2 πn, a = 2 π - 0.77774 \dots + 2 πn

Solution steps

400 = 812.25 + 400 - 1140 cos (a)

Switch sides

812.25 + 400 - 1140 cos (a) = 400

Subtract

400

from both sides

812.25 + 400 - 1140 cos (a) - 400 = 400 - 400

Simplify

812.25 - 1140 cos (a) = 0

Move

812.25

to the right side

- 1140 cos (a) = - 812.25

Divide both sides by

- 1140

cos (a) = 0.7125

Apply trig inverse properties

a = arccos (0.7125) + 2 πn, a = 2 π - arccos (0.7125) + 2 πn

Show solutions in decimal form

a = 0.77774 \dots + 2 πn, a = 2 π - 0.77774 \dots + 2 πn

3 cos (θ) = sin (θ)

- 4 cos^{(2)} (x) + 42 sin (x) + 6 = 0

3 tan^{2} (x) - 10 tan (x) + 7 = 0

cos (x) = - \frac{3}{3}

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

What is the general solution for 400=812.25+400-1140cos(a) ?
The general solution for 400=812.25+400-1140cos(a) is a=0.77774…+2pin,a=2pi-0.77774…+2pin