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3 years ago

Show cos 20 * cos 40 * cos 80 =1/8

1 answer:

8 0

cos 20 cos 40 cos 80 =
= ( 2 sin 20 cos 20 cos 40 cos 80 ) / 2 sin 20 =
( multiple and divide by 2 sin 20 )
= ( sin 40 cos 40 cos 80 ) / 2 sin 20 =
= ( 1/2 sin 80 cos 80 ) / 2 sin 20 =
= ( sin 80 cos 80 ) / 4 sin 20 =
= 1/2 sin 160 / 4 sin 20 =
= sin 160 / 8 sin 20 = ( and since: sin 160 = sin 20 )
= 1 / 8

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Using the asymptote concept, we have that:

The vertical asymptote is x = 9.

The horizontal asymptote is y = 3.

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The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.

The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.

In this problem, the function is:

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More can be learned about asymptotes at brainly.com/question/16948935

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