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Popular >

cos(x)=(13^2+18^2-28^2)/(21318)

Solution

cos (x) = \frac{1 3 ^{2} + 1 8 ^{2} - 2 8 ^{2}}{2 \cdot 13 \cdot 18}

Solution

x = 2.24182 \dots + 2 πn, x = - 2.24182 \dots + 2 πn

+1

Solution steps

cos (x) = \frac{1 3 ^{2} + 1 8 ^{2} - 2 8 ^{2}}{2 \cdot 13 \cdot 18}

Simplify

\frac{1 3 ^{2} + 1 8 ^{2} - 2 8 ^{2}}{2 \cdot 13 \cdot 18} : - \frac{97}{156}

Apply trig inverse properties

x = arccos (- \frac{97}{156}) + 2 πn, x = - arccos (- \frac{97}{156}) + 2 πn

Show solutions in decimal form

x = 2.24182 \dots + 2 πn, x = - 2.24182 \dots + 2 πn

Popular Examples

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0.16085 = sin (\frac{2 π}{365} (x - 114))

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sin (x) = - \frac{8}{17}, π \leq x \leq \frac{3 π}{2}, sin (2 x)

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Frequently Asked Questions (FAQ)

What is the general solution for cos(x)=(13^2+18^2-28^2)/(2*13*18) ?
The general solution for cos(x)=(13^2+18^2-28^2)/(2*13*18) is x=2.24182…+2pin,x=-2.24182…+2pin