All categories

3 years ago

Please help im stuck. Integrated 2 Math.

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

Need more information~

You might be interested in

Find exact values for sin θ, cos θ and tan θ if csc θ = 3/2 and cos θ < 0.

kumpel [21]

Answer:

Part 1) $sin(\theta)=\frac{2}{3}$

Par 2) $cos(\theta)=-\frac{\sqrt{5}}{3}$

Part 3) $tan(\theta)=-\frac{2\sqrt{5}}{5}$

Step-by-step explanation:

step 1

Find the $sin(\theta)$

we have

$csc(\theta)=\frac{3}{2}$

Remember that

$csc(\theta)=\frac{1}{sin(\theta)}$

therefore

$sin(\theta)=\frac{2}{3}$

step 2

Find the $cos(\theta)$

we know that

$sin^{2}(\theta) +cos^{2}(\theta)=1$

we have

$sin(\theta)=\frac{2}{3}$

substitute

$(\frac{2}{3})^{2} +cos^{2}(\theta)=1$

$\frac{4}{9} +cos^{2}(\theta)=1$

$cos^{2}(\theta)=1-\frac{4}{9}$

$cos^{2}(\theta)=\frac{5}{9}$

square root both sides

$cos(\theta)=\pm\frac{\sqrt{5}}{3}$

we have that

$cos(\theta) < 0$ ---> given problem

$cos(\theta)=-\frac{\sqrt{5}}{3}$

step 3

Find the $tan(\theta)$

we know that

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

we have

$sin(\theta)=\frac{2}{3}$

$cos(\theta)=-\frac{\sqrt{5}}{3}$

substitute

$tan(\theta)=\frac{2}{3}:-\frac{\sqrt{5}}{3}=-\frac{2}{\sqrt{5}}$

Simplify

$tan(\theta)=-\frac{2\sqrt{5}}{5}$

6 0

3 years ago

Choose the points that are solutions to this:

Scorpion4ik [409]

Answer:

b. (3,3)

Step-by-step explanation:

6 0

3 years ago

What is an outlier in math?

Flura [38]

A outlier is something spread out from the rest for example you have the numbers 12, 9, 3,10, 16, 89 obviously the outlier is 89 so the number spread from the rest

7 0

3 years ago

Read 2 more answers

Help me please, I don't really get this at all.

Varvara68 [4.7K]

Answer:

Step-by-step explanation:

Seats to minutes = 2 to 11:

2/11 = s/m.

When s = 16:

2/11 = 16/m

m = 11*16 / 2

= 176/2

= 88 minutes.

When s = 19:

2/11 = 19 / m

m = 11*19 / 2

m = 209/2

= 104.5 minutes.

6 0

3 years ago

Read 2 more answers

Which number produces an rational number when multiplied by 1/5

Sedaia [141]

Any rational number will satisfy the situation.

5 0

3 years ago

Read 2 more answers