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4 years ago

Find sinθ and tanθ if cosθ=13/85, assuming that 0≤θ<π/2

Mathematics

2 answers:

Greeley [361]4 years ago

6 0

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7

Step-by-step explanation:

salantis [7]4 years ago

5 0

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse= 24/25 and tanθ= vertical/horizontal= 24/7

Step-by-step explanation: I hope this helps!

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Determine what the solution is to the following system? Y=3/4x-1 & y=4/3x-1

vichka [17]

Answer:

(0, -1)

Step-by-step explanation:

There are multiple ways of solving this however- since both equations are already in Y-Intercept form, we will use the "Equal Values Method"

First, since both equations are equal to Y, we can set them equal to each other and solve for X

$\frac{3 }{4} x - 1 = \frac{4}{3} x - 1$

To start, you must eliminate the fraction using a "fraction buster" multiply EVERYTHING by 4 then simplify.

$3x - 4 = 5 \frac{1}{3}x - 4$

Since we still have a fraction, we shall do it one more time. This time we multiply by 3

$9x - 12 = 6 x - 12$

Now, solve how you normally would.

9x = 6x

-6x

3x = 0

X = 0

Now, since we know what X would equal in the solution, we are able to plug in X as 0 in one of our equations. We can choose the first one!

$y = \frac{3}{4} (0) - 1$

Now solve which would lead to y = -1

You have your solution as

(X,Y)

(0,-1)

Hope this helps!

4 0

3 years ago

Solve by completing the square. (Enter your answers as a comma-separated list.)

scZoUnD [109]

Answer:

$y=\sqrt-{35} -8\\y=\sqrt{35}-8$

Step-by-step explanation:

times in the y+9 and y+7 and get y squared + 16x+ 63+80.

6 0

2 years ago

What the vertex of the graph of y=-x^2

Neporo4naja [7]

First let's define vertex: A point on the curve with a local minimum or maximum of curvature. If we look for the minimum and maximum value of the equation y=x^2+5: minimum value X=0, substitute in the equation to get the maximum value of Y y = 0^2 + 5y = 0 + 5y= 5 so the ordered pair is (0,5) Hope That Helped =D

3 0

4 years ago

Read 2 more answers

What are the answers to these 3 problems?

sesenic [268]

The first is the first one tho

3 0

3 years ago

A vase contains 30 flowers. There are 16 roses, 10 carnations, and the rest are daisies . What is the ratio of roses to daisies

Yanka [14]

Answer

Step-by-step explanation: