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mihalych1998 [28]
3 years ago
15

Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.

Mathematics
1 answer:
Arada [10]3 years ago
3 0

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

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Oksanka [162]
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8 0
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You could also eliminate step three by multiplying by -2 instead of just 2.

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4 0
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If the Revenue for the week is $2000, and labor cost consists of two workers earning $8 per hour who work 40 hours each, what is
Hatshy [7]
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A boat travels 12 Mph in still water. It can travel 18 miles upstream in the same time that it can travel 24 miles downstream. W
quester [9]

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Step-by-step explanation:

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4 0
3 years ago
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