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Popular Trigonometry >

1.812=316cos(1.496x)+1.496

Solution

1.812 = 316 \cdot cos (1.496 \cdot x) + 1.496

Solution

x = \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}, x = \frac{2 π}{1.496} - \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}

+1

Degrees

x = 60.12212 \dots^{\circ} + 240.64171 \dots^{\circ} n, x = 180.51958 \dots^{\circ} + 240.64171 \dots^{\circ} n

Solution steps

1.812 = 316 cos (1.496 x) + 1.496

Switch sides

316 cos (1.496 x) + 1.496 = 1.812

Move

1.496

to the right side

316 cos (1.496 x) + 1.496 = 1.812

Subtract

1.496

from both sides

316 cos (1.496 x) + 1.496 - 1.496 = 1.812 - 1.496

Simplify

316 cos (1.496 x) = 0.316

316 cos (1.496 x) = 0.316

Divide both sides by

316

316 cos (1.496 x) = 0.316

Divide both sides by

316

\frac{316 cos ( 1.496 x )}{316} = \frac{0.316}{316}

Simplify

cos (1.496 x) = 0.001

cos (1.496 x) = 0.001

Apply trig inverse properties

cos (1.496 x) = 0.001

General solutions for

cos (1.496 x) = 0.001

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

1.496 x = arccos (0.001) + 2 πn, 1.496 x = 2 π - arccos (0.001) + 2 πn

1.496 x = arccos (0.001) + 2 πn, 1.496 x = 2 π - arccos (0.001) + 2 πn

Solve

1.496 x = arccos (0.001) + 2 πn : x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

1.496 x = arccos (0.001) + 2 πn

Divide both sides by

1.496

1.496 x = arccos (0.001) + 2 πn

Divide both sides by

1.496

\frac{1.496 x}{1.496} = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

Simplify

x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

Solve

1.496 x = 2 π - arccos (0.001) + 2 πn : x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

1.496 x = 2 π - arccos (0.001) + 2 πn

Divide both sides by

1.496

1.496 x = 2 π - arccos (0.001) + 2 πn

Divide both sides by

1.496

\frac{1.496 x}{1.496} = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

Simplify

x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}, x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

Show solutions in decimal form

x = \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}, x = \frac{2 π}{1.496} - \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}

Graph

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