Which of the following give the correct graph and phase shift for y = 3 cos ( θ +20) – 4?
1 answer:
Answer:
See picture attached below
Step-by-step explanation:
We can easily find the answer to your question, if we plot the equation with a graphing calculator or any plotting tool.
The equation is
y = 3 cos (θ + 20) - 4
See attached picture below
phase_shift = 20
max_amplitude = -1
min_amplitude = -7
Period = 2π
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Option B:
Law of cosine, two sides and the included angle are known.
Solution:
Let us first know the law of cosines and law of sines.
Law of cosine:
If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.
Law of sine:
The sides of a triangle are to one another in the same ratio as the sines of their opposite angles.
Given ∠P and the sides r, q are known.
<u>To find the value of p:</u>
Option A: Law of cosines, all sides are known.
It is false by the above definition of law of cosine.
Option B: Law of cosine, two sides and the included angle are known.
It is true by the above definition of law of cosine.
Option C: Law of sines, all sides are known.
It is false, because one angle is given in question.
Option D: Law of sines, two angles and the included side are known.
It is false, because two angles are not given.
Option B is the correct answer.
Hence the answer is "Law of cosine, two sides and the included angle are known".