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beks73 [17]
4 years ago
12

Find tan2θ if θ terminates in Quadrant IV and cosθ =3/5 .

Mathematics
1 answer:
Liula [17]4 years ago
6 0

Answer:

The answer to your question is  \frac{-8}{3}

Step-by-step explanation:

Data

cos Ф = 3/5

tan2Ф = ?

Quadrant IV

Process

1.- Remember that tanФ = \frac{Opposite side}{Adjacent side}  and cos Ф = \frac{adjacent side}{hypotenuse}

then,    adjacent side = 3 and hypotenuse = 5

2.- Calculate opposite side

             O² = h² - a²

             O² = 5² - 3²

             O² = 25 - 9

              O² = 16

              O = 4

3.- Calculate the tan 2Ф

            tan 2Ф = 2(\frac{-4}{3})       The opposite side is negative in the fourth

                                           quadrangle

            tan 2Ф = \frac{-8}{3}

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The sum of a number and 14 is less than or equal to three times the number
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8 0
4 years ago
Read 2 more answers
Sarah hopes to be 5 feet tall by her next birthday. Right now, she is 148 centimeters tall. About how many more centimeters does
Alla [95]

Answer:

4.4 cm

Step-by-step explanation:

To solve this problem, we have to remind the conversion factor between feet and cm. We know that:

1 foot = 12 inches

1 inches = 2.54 cm

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In this problem, Sarah's height right now is

h = 148 cm

She wants to be 5 feet tall by her next birthday: it means that her height should be

h'=5 ft \cdot 30.48 =152.4 cm

Therefore, she needs to grow by:

h'-h=152.4-148=4.4 cm

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3 0
4 years ago
Find the range for the measures for the third side of a triangle with the given measures of two sides. 14 and 23
liberstina [14]

Given:

Two sides of a triangle are 14 and 23.

To find:

The angle for the measures for the third side of a triangle.

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If a, b, c are three sides of a triangle, then

a+b>c

a+c>b

b+c>a

It is given that two sides of a triangle are 14 and 23.

Let the third side of the given triangle be c. Then, using the above inequalities, we get

a+b>c

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Similarly,

a+c>b

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Using (i), (ii) and (iii), we get

9

Therefore, the range for third side of the triangle is 9.

7 0
3 years ago
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