A coterminal angle of θ such that 0 ≤ θ ≤ 2π is equal to 7π/4 and the exact value of Sin(θ) = -1/√2.
<h3>What is a coterminal angle?</h3>
A coterminal angle can be defined as an angle that share the terminal side of an angle which occupies the standard position i.e it has the same initial side.
In this scenario, all angles that are multiples of 2π and added to the given angle (-9π/4) would be coterminal. For the range [0, 2π], 8π should be added to the given angle as follows:
Coterminal angle = -9π/4 + 4π
Coterminal angle = -9π/4 + 16π/4
Coterminal angle = 7π/4.
<h3>Part B.</h3>
The reference angle is given by:
7π/4 -π = 3π/4.
Therefore, the exact values of all six (6) trigonometric functions evaluated at θ are:
Read more on coterminal angles here: brainly.com/question/23093580
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I may not be able to use the appropriate vocabulary. But, the ratio of holiday stamps to president stamps is of 8:5 we can reach this conclusion because a ratio is just a fraction, if we put 40 over 25 we then put it in simplest form to get 8/5, or a ratio of 8 holiday stamps to every 5 president stamps
Step-by-step explanation:
Answer:30. hope this helps
Answer:
Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms
step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x
step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have
substitute
step 4
Find the measure of angle c
we know that
----> by vertical angles
we have
therefore
step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have
therefore
step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have
therefore
step 7
Find the measure of angle f
we know that
----> by vertical angles
we have
therefore
Answer:
- domain: [0, ∞)
- range: (-∞, ∞)
- not a function
Step-by-step explanation:
The arrows indicate the graph continues indefinitely in the direction indicated.
The domain is the horizontal extent, so is the interval from 0 to infinity, including 0.
The range is the vertical extent, so extends from negative infinity to positive infinity (all real numbers).
The graph does not pass the vertical line test: a vertical line intersects it in more than one place, so the relation is NOT a function.
