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Vikki [24]
3 years ago
12

What is the exact value of cos(–60º)?

Mathematics
2 answers:
Aloiza [94]3 years ago
4 0

Answer:

The exact value of cos(-60\°)=(1/2)

Step-by-step explanation:

we know that

The angle -60\° belong to the fourth quadrant

The function cosine is positive in the first and in the fourth quadrant

so

cos(-60\°)=cos(60\°)

Remember that

cos(60\°)=(1/2)

so

cos(-60\°)=(1/2)

ladessa [460]3 years ago
3 0
The exact value is. +1/2.
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Consider the given right triangle. If angle B = 43 degrees and c = 26.7 meters, find a.
Nady [450]

Answer: Side a equals 19.5 metres

Step-by-step explanation: Consider the right angled triangle as shown in the picture attached. The triangle has been drawn with angle measuring 43 degrees, side c (line AB) measuring 26.7 m and side a (line CB) is yet unknown.

A right angled triangle can be solved if at least one side and an angle are available. In this question we shall apply the trigonometric ratios since we have one angle which shall be the reference angle (43°). Also we have an hypotenuse (the side facing the right angle) and an unknown side which is the adjacent (which lies between the right angle and the reference angle).

Cos B = Adjacent/Hypotenuse

Cos 43 = a/26.7

Cos 43 x 26.7 = a

0.7314 x 26.7 = a

19.52714 = a

a ≈ 19.5  (rounded to the nearest tenth)

Therefore the length of side a equals 19.5 metres.

3 0
3 years ago
Read 2 more answers
R^2 = 4r-4<br><br> Please show steps
natita [175]

Answer:

r = 2

Step-by-step explanation:

r^{2} = 4r-4

square root both sides

r = \sqrt{}4r-4

r = 2r-2

2r-r = 2

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8 0
3 years ago
Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How
Naddika [18.5K]

Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

x+y=42 ----> equation A

Frank has 6 more than half the number of cards as his friend

x=\frac{y}{2} +6 ---> equation B

Solve the system by substitution    

Substitute equation B in equation A

\frac{y}{2} +6+y=42

solve for y

\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24

<em>Find the value of x</em>

x=\frac{24}{2} +6=18

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

7 0
3 years ago
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