3 years ago

Suppose that cos(t) = 5/13, where t is the fourth quadrant. find sin(2t)

Mathematics

1 answer:

Natalija [7]3 years ago

3 0

Given that cos(t)= 5/13

t is in fourth quadrant, so sint<0 and cost>0

So sint = -sqrt(1-cos^2(t))= -sqrt(1-25/169)= - sqrt((169-25)/169)= -12/13

Sin(2t) = 2sin(t)cos(t)= 2*-12/13* 5/13 = -120/169

You might be interested in

How do you find slope, y- intercept, slope- intercept form, and point slope form for (-10,-17) (-8,-15.7)

krek1111 [17]

Answer:

-10=x1 -17=y1

-8=x2 -15.7=y2

formula:

y2 -y1

_____ =m

x2-x1

y1=m(x1)+b

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Is this a function. ?

lisabon 2012 [21]

Answer:

Yes

Step-by-step explanation:

A function is a relation where each input has only one output

The table shown follows this, each input has only one output, therefore it is a function.

8 0

3 years ago

Read 2 more answers

Which of the following represents the ratio of the hypotenuse to the given side?

mixas84 [53]

Answer:c

Step-by-step explanation:

hyp=6 $\sqrt{2}$

adj=6

hyp:adj=6 $\sqrt{2}$ :2

hyp:adj= $\frac{6\sqrt{2} }{6} \\$

$=\frac{\sqrt{2} }{1} \\hyp:adj=\sqrt{2} :1$

3 0

3 years ago

Melanie is making a piece of jewelry that is in the shape of a right triangle. The two shorter sides of the piece of jewelry are

ollegr [7]

Using Pythagoras’ theorem a2 + b2 = c2 you can find out the third (longest) side. (6x6) + (8x8) = 100 (the square root of 100 is 10) so ur final sum is 6+8+10 = 24 mm

5 0

2 years ago

Answer the question

cluponka [151]

The unit rate in this problem is one payment per month. Since Martha has made 86 payments, that means it has been 86 months. Because of that, we can simply multiply 3335*86 to get 286810.

So she so far has paid $286,810 for her house payment

5 0

3 years ago

Read 2 more answers