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4 years ago

The angle θ lies in Quadrant I. cosθ=35 What is tanθ?

Mathematics

1 answer:

Elis [28]4 years ago

3 0

Answer:

Step-by-step explanation:

sin2θ + cos2θ = 1

sin2θ + (3/5)2 = 1

sin2θ = 1 - (3/5)2

sin2θ = 1 - 9/25

sin2θ = 16/25

sin θ = ±√[ 16/25 ]

sin θ = ± 4 / 5

Since θ is in Quadrant I, sin θ is positive.

sin θ = 4 / 5

tan θ = sin θ / cos θ

tan θ = ( 4/5 ) / (3/5 )

tan θ = 4 / 3

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3 years ago

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Use the Distance Formula to find the distance between D(2, 0) and E(8, 6).

Mazyrski [523]

Answer:

The answer is

<h2> $6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are D(2, 0) and E(8, 6

The distance between them is

$|DE| = \sqrt{ ({2 - 8})^{2} + ({0 - 6})^{2} } \\ = \sqrt{( { - 6})^{2} + ( { - 6})^{2} } \\ = \sqrt{36 + 36} \\ = \sqrt{72} \: \: \: \: \: \: \: \: \: \: \\ = 6 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \\ = 8.4852813$

We have the final answer as

$6 \sqrt{2} \: \: \: or \: \: \: 8.50 \: \: \: \: units$

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3 years ago

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Anna007 [38]

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Answer:

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