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Popular >

16=-10cos((2pi)/(150)t)+10

Solution

16 = - 10 cos (\frac{2 π}{150} t) + 10

Solution

t = \frac{75 \cdot 2.21429 \dots}{π} + 150 n, t = - \frac{75 \cdot 2.21429 \dots}{π} + 150 n

+1

Solution steps

16 = - 10 cos (\frac{2 π}{150} t) + 10

Switch sides

- 10 cos (\frac{2 π}{150} t) + 10 = 16

Move

10

to the right side

- 10 cos (\frac{2 π}{150} t) = 6

Divide both sides by

- 10

cos (\frac{2 π}{150} t) = - \frac{3}{5}

Apply trig inverse properties

\frac{2 π}{150} t = arccos (- \frac{3}{5}) + 2 πn, \frac{2 π}{150} t = - arccos (- \frac{3}{5}) + 2 πn

Solve

\frac{2 π}{150} t = arccos (- \frac{3}{5}) + 2 πn : t = \frac{75 arccos ( - \frac{3}{5} )}{π} + 150 n

Solve

\frac{2 π}{150} t = - arccos (- \frac{3}{5}) + 2 πn : t = - \frac{75 arccos ( - \frac{3}{5} )}{π} + 150 n

t = \frac{75 arccos ( - \frac{3}{5} )}{π} + 150 n, t = - \frac{75 arccos ( - \frac{3}{5} )}{π} + 150 n

Show solutions in decimal form

t = \frac{75 \cdot 2.21429 \dots}{π} + 150 n, t = - \frac{75 \cdot 2.21429 \dots}{π} + 150 n

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