Evaluate the sine, cosine, and tangent of the angle without using a calculator. θ = − 10π 3

1 answer:

4 0

Determine the quadrant adding or subtracting periods -10pi/3+2pi=-4pi/3+2pi=2pi/3
which is the second quadrant because
first quadrant is between 0 and pi/2
second quadrant is between pi/2 and pi
third quadrant is between pi and 3pi/2
fourth is between 3pi/2 and 2pi
now we find the terminal angle since it is the second quadrant we use theta'=pi-theta=pi-2pi/3=pi/3
sin(pi/3)=sqrt(3)/2 sin is positive in the second quadrant
cos(pi/3)=-0.5 cos is negative in the second quadrant
tan(pi/3)=sin(pi/3)/cos(pi/3)=-sqrt(3) tan is negative in the second quadrant

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Using a 10' long piece of strut as a straightedge, you are trying to determine the outside diameter of a grain storage silo. You

Vesna [10]

The radius of the silo is the distance from its center to the outside wall

The radius of the silo is 7 3/8" or 7 3/8 inches

<h3>How to determine the radius?</h3>

From the question, we have the following parameters:

Length of strut = 10'
Outside diameter of silo = 14 3/4"

The radius is then calculated as:

Radius = 0.5 * Diameter

This gives

Radius = 0.5 * 14 3/4"

Evaluate the product

Radius = 7 3/8"

Hence, the radius of the silo is 7 3/8" or 7 3/8 inches

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2 years ago

Help me solve this problem step by step because I’m having a hard time

jarptica [38.1K]

Answer:

x=3, y=10

Step-by-step explanation:

in triangle KLN all the angles are equal making it an equilateral trianlge. GIven one side being 6, we know all the sides are 6 including the side with the expression y-4.

this means

y-4=6

y=10

Using the converse of the base angles theorem(meaning we know the base angles are congruent so the two sides are conguent), we know that

6=x+3

x=3

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3 years ago

10) Alayah's puppy weighed 12 lbs. when they brought it home from the Humane Society.

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It gained 4 lbs:) 6*4 = 24
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