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Marizza181 [45]
3 years ago
7

For which value of theta is sine theta = negative 1?

Mathematics
2 answers:
rosijanka [135]3 years ago
6 0

Answer:

3pi/2

Step-by-step explanation:

that is only one that makes sine negative. others make it 0 or positive

Ivan3 years ago
4 0

Answer:

1) 270 degrees

2)  pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

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AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

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3 years ago
How do you tell if an equation is linear or not????
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You can tell if the equation is linear or not if the equation makes a straight line on a graph.
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We found in the previous task, that Chef Walton cooked 50 meals first. However, for the next dinner service, Chef Barber prepare
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Step-by-step explanation:

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An equilateral triangle and an isosceles triangle share a common side. What is the measure of angle ABC? I need help with questi
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alisha [4.7K]

The width of the actual yard is 50 feet wide. Since the scale from the drawing to real life is 1 inch for every 10 feet, simply multiply 1:10 by the same number on both sides to get an equivalent ratio using the given scale. Basically, 1 inch : 10 feet * 5:5 equals 5 inches for every 50 feet.

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