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# Solve the equation $\cos\left(135\right)=4\cos\left(\right)$

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## Step-by-step Solution

Problem to solve:

$\cos\left(135\right)=4\cos\left(45-3\cos\left(315\right)\right)$

Specify the solving method

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The cosine of $135$ equals $-0.996088$

$-0.996088=4\cos\left(\right)$

Learn how to solve trigonometric equations problems step by step online.

$-0.996088=4\cos\left(\right)$

Learn how to solve trigonometric equations problems step by step online. Solve the equation cos(135)=4cos(). The cosine of 135 equals -0.996088. The cosine of 315 equals 0.666916. Multiply -3 times 0.666916. Subtract the values 45 and -2.000748.

$\cos\left(135\right)=4\cos\left(45-3\cos\left(315\right)\right)$