What is (1/2+1/2 cos(6x))^4 ?

The solution to (1/2+1/2 cos(6x))^4 is ((1+cos(6x))^4)/(16)

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simplify (1/2+1/2 cos(6x))^4

simplify

(\frac{1}{2} + \frac{1}{2} cos (6 x))^{4}

\frac{( 1 + cos ( 6 x ) ) ^{4}}{16}

Solution steps

(\frac{1}{2} + \frac{1}{2} cos (6 x))^{4}

Simplify

\frac{1}{2} + \frac{1}{2} cos (6 x) : \frac{1 + cos ( 6 x )}{2}

= (\frac{1 + cos ( 6 x )}{2})^{4}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( 1 + cos ( 6 x ) ) ^{4}}{2 ^{4}}

2^{4} = 16

= \frac{( 1 + cos ( 6 x ) ) ^{4}}{16}

sin (\frac{11 π}{60} + \frac{7 π}{30})

A (2, 1) B (- 3, 2) y C (- 5, - 2)

s g n (x^{2} - 16) 8 - 2 x - x^{2}

(2 y + 1) (2 y - 1)

1400 (33 + 7)

What is (1/2+1/2 cos(6x))^4 ?
The solution to (1/2+1/2 cos(6x))^4 is ((1+cos(6x))^4)/(16)