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Alexeev081 [22]
3 years ago
6

Type the correct answer in the box. If necessary, use / for the fraction bar and simplify the fraction. cos(75°)cos(15°) =

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
4 0

Answer:

1/4

Step-by-step explanation:

If you type cos(75)cos(15) into a scientific calculator, the answer comes out as 1/4.

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Answer/Step-by-step explanation:

a. The sides of ∆ABC can be labelled as follows, taking θ as the reference point.

Adjacent = side AB

Opposite = side BC

Hypotenuse = side AC

b. I. "<B is an acute angle" => FALSE. It is a right angle (90°)

II. "The side opposite to <C is BC" => FALSE. The side opposite to <C is AB.

III. The side adjacent to <A is AB => TRUE

IV. The side opposite to <B is not the longest. => FALSE. It is the hypotenuse and the longest side.

c. Cos θ = \frac{adjacent}{hypotenuse} = \frac{AB}{AC}

Tan θ = \frac{opposite}{adjacent} = \frac{BC}{AB}

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Cos C = \frac{adjacent}{hypotenuse} = \frac{BC}{AC}

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