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3 years ago

Which of the following trigonometric fuuctions has a range of apply all real numbers? Select all that apply.

Mathematics

1 answer:

Kryger [21]3 years ago

6 0

Answer:

y=tan x and y=cotx

Step-by-step explanation:

We are given functions of all trignometric ratios and asked to find out which has range of all real numbers. Let us discuss one by one

1. y =sinx: False because -1≤sinx≤1 always

2. y=cosx:False because -1≤cosx≤1 always

3. y = tanx: True because tanx can take any value

4. y=cot x: True because cots x can take any value

5. y = csc x: False because this range does not lie between -1 and 1

6. y=sec xFalse because this range does not lie between -1 and 1

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3 years ago

Alex and his friend Kim made a one-gallon pitcher of lemonade because it was so hot. They drank 5 glasses that each help 2 cups

natulia [17]

we know that

4 cups of lemonade = 1 quart

1 gallon of lemonade = 4 quarts

1 gallon of lemonade = 16 cups

Step 1

find the amount of lemonade that's left expressed in cups

5 glasses * 2 cups = 10 cups

16 cups - 10 cups = 6 cups.

There are 6 cups of lemonade left.

Step 2

find the amount of lemonade that's left expressed in quarts:

4 cups = 1 quart.

(6 cups divided by 4 cups will equal the quarts.)

6/4=1.5

6 cups = 1.5 quarts.

There are 1.5 quarts of lemonade left.

Step 3

find the amount of lemonade that's left expressed in gallons

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6 0

3 years ago

Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angl

Step2247 [10]

Answer:

$B= 41$ ; $C = 56$ ; $A = 83$

Step-by-step explanation:

Given

$A = 2x + 1$

$B = x$

$C = x + 15$

Required

Arrange the angles from smallest to largest

First, we need to determine the value of x.

Since, it is a triangle:

$A + B + C = 180$

Substitute values for A, B and C

$2x + 1+ x + x + 15 = 180$

Collect Like Terms

$2x + x + x = 180 - 15 -1$

$4x = 164$

Solve for x

$x= 164/4$

$x= 41$

Solve for A, B and C

$A = 2x + 1$

$A = 2 * 41 + 1$

$A = 82 + 1$

$A = 83$

$B = x$

$B= 41$

$C = x + 15$

$C = 41 + 15$

$C = 56$

From Smallest to Largest, we have:

$B= 41$ ; $C = 56$ ; $A = 83$

6 0

3 years ago