Cos² 2x = (1+cos 4x )/2
cos² 6x = (1+cos 12x)/2
subtract to get 1/2 (cos 4x - cos 12x )
= 1/2 (2 sin 4x sin 8x ) as cos A - cos B = 2 [ sin (A+B)/2 sin (A-B)/2 ]
so the answer

4 0

3 years ago

A cone has a diameter of 3 inches the cone holds 12 cubic inches of water to the nearest in what is the height

LUCKY_DIMON [66]

Answer:

5 inches

Step-by-step explanation:

A cone's volume can be found using the formula $V = \frac{1}{3} \pi r^2 h$ . If the cone has a diameter of 3 inches then its radius is half r= 1.5 inches. Substitute r = 1.5 and V = 12 cubic inches.

$V = \frac{1}{3} \pi r^2 h \\12 = \frac{1}{3} \pi (1.5)^2 h \\12 = \frac{1}{3} \pi (2.25) h\\12 = 2.355h\\5.10 = h$

This means the height of the cone is 5.10 inches or to the nearest inch 5 inches.

3 0

3 years ago

Solve. x + 4 = 10 help please i will give brainliest

kirza4 [7]

Answer: x = 6

Step-by-step explanation:

5 0

2 years ago

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