Answer:
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What is the measure of angle a?
1 answer:
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So, the answer is 4.5
Answer:
cosФ = , sinФ =
, tanФ = -8, secФ =
, cscФ =
, cotФ =
Step-by-step explanation:
If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:
- cosФ =
- sinФ =
- tanФ =
- secФ =
- cscФ =
- cotФ =
- Where r =
(the length of the terminal side from the origin to point (x, y)
- You should find the quadrant of (x, y) to adjust the sign of each function
∵ Point (1, -8) lies on the terminal side of angle Ф in standard position
∵ x is positive and y is negative
→ That means the point lies on the 4th quadrant
∴ Angle Ф is on the 4th quadrant
∵ In the 4th quadrant cosФ and secФ only have positive values
∴ sinФ, secФ, tanФ, and cotФ have negative values
→ let us find r
∵ r =
∵ x = 1 and y = -8
∴ r =
→ Use the rules above to find the six trigonometric functions of Ф
∵ cosФ =
∴ cosФ =
∵ sinФ =
∴ sinФ =
∵ tanФ =
∴ tanФ = = -8
∵ secФ =
∴ secФ = =
∵ cscФ =
∴ cscФ =
∵ cotФ =
∴ cotФ =
<h2>Greetings</h2>
<h2>Hope this helps!</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:
m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>5m = 160
Divide both sides by 5:
m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3><h2>Hope this helps!</h2>