Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1.

1 answer:

5 0

We are asked to express cos^ 3 x in terms of powers of trigonometric functions not greater than 1

cos ^ 3 x is equal to cos x * cos^2 x.
cos^2 x = 1 - sin^2 x.
sin^2 x = (1 - cos 2x) /2

the answer is cos ^ 3 x = cos x * (1 - (1 - cos 2x) /2 )

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The sum of a student's three score is 246. if the first is 14 points more than the second, and the sum of the first two is 6 mor

mr_godi [17]

Let the second score = x
⇒ second score = x

the first is 14 points more than the second
⇒ first score = x + 14

the sum of the first two is 6 more than twice the third
⇒ third score = 1/2 (x + x + 14 - 6) = x + 4

The sum of a student's three score is 246
⇒ x + (x + 14) + (x + 4) = 246

Solve x:
x + x + 14 + x + 4 = 246
3x + 18 = 246
3x = 228
x = 76

second score = x = 76
first score = x + 14 = 76 + 14 = 90

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Answer:

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