All categories

3 years ago

The measure on angle 0 is 7pie/4. Measure of its reference angle is °, and the tan 0 is _

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

7 0

Answer:

Reference angle is $\frac{\pi }{4}$ and tan $\frac{7\pi }{4}$ = -1

Step-by-step explanation:

$\frac{7\pi }{4}$ lies in the 4th quadrant

and reference angle for angle in 4th quadrant is 2π - x , where x is the angle given.

and reference angle for $\frac{7\pi }{4}$ is

2π- $\frac{7\pi }{4}$ = $\frac{\pi }{4}$

and tan $\frac{7\pi }{4}$ = -tan $\frac{\pi }{4}$ = -1

Since tan is negative in 4th quadrant ,therefore value will be negative for the given angle.

You might be interested in

You are playing a new video game. The table shows the proportional relationship between the number of levels completed and the t

Lana71 [14]

The time to complete 2 levels is (c) 60 minutes

<h3>How to determine the time to complete 2 levels?</h3>

The table of values is given as

Number of Levels Time (hours)

2 ?

3 1.5

Express the blank (?) with y

Number of Levels Time (hours)

2 y

3 1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes

Read more about linear equation at

brainly.com/question/13738662

#SPJ1

7 0

1 year ago

In the third degree polynomial function f(x) =x^3 + 4x, why are 2i and -2i zeros?

IgorC [24]

Answer:

We just need to evaluate and get f(2i)=0, f(-2i)=0.

Step-by-step explanation:

Since $i^2=-1$ , then $i^3=i^2i=-i$ , and we can apply this when we evaluate $f(x) =x^3 + 4x$ for 2i and -2i.

First we have:

$f(2i) =(2i)^3 + 4(2i)=2^3i^3+8i=8(-i)+8i=0$

Which shows that 2i is a zero of f(x).

Then we have:

$f(-2i) =(-2i)^3 + 4(-2i)=(-2)^3i^3-8i=-8(-i)-8i=8i-8i=0$

Which shows that -2i is a zero of f(x).

4 0

4 years ago

Write an expression that evaluates to true if the int associated with number_of_prizes is divisible (with no remainder) by the i

hodyreva [135]

We need to find the expression for " number_of_prizes is divisible number_of_participants". Also there should not remain any remainder left. On in order words, we can say the reaminder we get after division is 0.

Let us assume number of Prizes are = p and

Number of participants = n.

If we divide number of Prizes by number of participants and there will be not remainder then there would be some quotient remaining and that quotent would be a whole number.

Let us assume that quotent is taken by q.

So, we can setup an expression now.

Let us rephrase the statement .

" Number of Prizes ÷ Number of participants = quotient".

p ÷ n = q.

In fraction form we can write

p/n =q ; n ≠ 0.

4 0

3 years ago

2<br> y + 7 = 5(x - 3)<br> What is the standard form for this?

lesya [120]

Answer:

y=10/3 i think if that's what youre asking

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the pattern. What numbers come next?

Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

the pattern is -6 to get the next number

3 0

3 years ago

Read 2 more answers

The measure on angle 0 is 7pie/4. Measure of its reference angle is __ °, and the tan 0 is ___

The measure on angle 0 is 7pie/4. Measure of its reference angle is °, and the tan 0 is _