Help please?

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

cos(θ) = -1/2
tan(θ) = √3

Step-by-step explanation:

You know that ...

cos(θ)² = 1 - sin(θ)²
tan(θ) = sin(θ)/cos(θ)
cosine is negative in the third quadrant (where π < θ < 3π/2)

Using what you know about the relationships of these trig functions, you can find ...

cos(θ)² = 1 - ((-√3)/2)² = 1 - 3/4 = 1/4

cos(θ) = -1/2 . . . . . negative square root of 1/4

tan(θ) = sin(θ)/cos(θ) = ((-√3)/2)/(-1/2)

tan(θ) = √3

You might be interested in

Jeff drove 5,784.5 miles in 12 days. To the nearest mile, what was the rate of miles Jeff drove each day? A. 482 B. 488 C. 500 D

Kay [80]

Answer:

A. 482

Step-by-step explanation:

5,784.5/12=482

3 0

3 years ago

Points and their residual values are shown in the table. Which point is farthest from the line of best fit?

vredina [299]

Answer:

$(3,6.2)$

Step-by-step explanation:

Residual value the difference between the observed value of the dependent variable and the predicted value is called the residual.

Residual , $R=O-P$ , where R is the residual value, O, is the observed value, and P is the predicted value. The sum and the mean of the residuals are equal to zero.

Now, we can see that the biggest <em>magnitude </em>of the difference is of $-1.1$ and $-1.1$ is at the point $(3,6.2)$ . ( $\left | -1.1 \right |=1.1$ )

Therefore, the point farthest from the line of best fit is the one whose magnitude of residual value is the most and in this case that point is $(3,6.2)$ .

6 0

4 years ago

Read 2 more answers

PLS HELP ASAP!!!!!!!!!!!!!!!!

lions [1.4K]

The answer is 12/100 or 12% probability.

The total group is 100 people, with only 12 being moderate that are high school only.

4 0

3 years ago

The volume of a gas "V" varies inversely with the pressure "P" put on it. If the volume is 360cm³ under a pressure of 20 kgcm2

Sav [38]

Answer:

15 Kg cm²