All categories

3 years ago

Given cos alpha=15/17 in Q1, find cos(alpha/2) And sin(alpha/2)

Mathematics

1 answer:

Anna007 [38]3 years ago

7 0

Answer:

• cos(α/2) = (4/17)√17

• sin(α/2) = (√17)/17

Step-by-step explanation:

The appropriate hαlf-angle identities are:

sin(α/2) = √((1 -cos(α))/2)

cos(α/2) = √((1 +cos(α))/2)

Putting in your given values for cos(α), we have ...

cos(α/2) = √((1 +15/17)/2) = √(16/17) = 4(√17)/17

sin(α/2) = √((1 -15/17)/2) = √(1/17) = (√17)/17

You might be interested in

Using the following picture which side is the hypotenuse?

mylen [45]

Hi!

A hypotenuse is the longest leg in a right triangle.

A right triangle is a triangle that has one 90 degree angle.

The hypotenuse is always directly across from the right angle.

In pictures, right angles are represented by a square.

Therefore, the side with the hypotenuse is side 3, because we can see that the angle between side 1 and side 2 is the right angle, and the hypotenuse would be directly across.

For more information, see:

brainly.com/question/21440624

For information about parts of a right triangle, see:

brainly.com/question/22137749

Image = other parts of a right triangle:

3 0

3 years ago

How do we put the points (0,7) and (8,-2) into slope intercept form

Vinil7 [7]

The formula for slope intercept form is y=mx+b where x is the slope and b is the y intercept. To find the slope you would have to do -2-7 over 8-0 and that would give you -9/8. That would be your slope. And I think you should be given a graph I’m not sure but if there is look at it and see what point you see on the y axis

6 0

4 years ago

State the domain and the range of the graph of f(x) = 4

Anastaziya [24]

Domain: (-infinity, infinity)
range: (-infinity, infinity)

7 0

3 years ago

FIND THE VOLUME STEP BY STEP

nalin [4]

Answer:

396 $ft^{3}$

Step-by-step explanation:

Okay, so first we will find the triangle area.

9 * 8 = 72/2 = 36.

Now multiply this by 11 (the width of the prism)

36 * 11 = 396 $ft^{3}$

7 0

4 years ago

D=rt for r solve for the specified variable

Harlamova29_29 [7]

Answer:

r=d/t

Step-by-step explanation:

d=rt

we are to make r the subject of the formula, so we remove t from the rhs.

we do this by dividing both sides by t

d divided by t= d/t and rt divided by t = r

therefore d/t =rt/t

= r=d/t

4 0

2 years ago

Given cos alpha=15/17 in Q1, find cos(alpha/2) And sin(alpha/2)​

Given cos alpha=15/17 in Q1, find cos(alpha/2) And sin(alpha/2)