Find all solutions of the equation in the interval \( [ 0,2 \pi ) \)
\( \cos 5 x \cos 2 x + \sin 5 x \sin 2 x = 0\)
Write your answer in radians in terms of \( \pi \) . If there is more than one solution, separate them with commas.
Question
Answer
cos3x=0
x=\(\frac{pi}{6}\) x=\(\frac{pi}{2}\) x=\(\frac{5pi}{6}\) x=\(\frac{7pi}{6}\) x=\(\frac{3pi}{2}\) x=\(\frac{11pi}{6}\)
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Ali's latest photo got \( 42 \) likes. This is \( 3 \) times as many likes as Kate's latest photo. How many likes did Kate's photo get? Select the correct solution method below, using \( x \) to represent Kate's likes.
A. \( 3 x = 42 \) . Divide both sides by \( 3 \) . Kate's photo got \( 14 \) likes.
B. \( \frac { x } { 3 } = 42 \) . Multiply both sides by \( 3 \) . Kate's photo got \( 126 \) likes.
C. \( x + 3 = 42 \) . Subtract \( 3 \) from both sides. Kate's photo got \( 39 \) likes.
D. \( x - 3 = 42 \) . Add \( 3 \) to both sides. Kate's photo got \( 45 \) likes.