How do I know when to use sine, cosine, or tangent when solving a vector?

1 answer
Question:

How do I know when to use sine, cosine, or tangent when solving a vector?

Answers

Answer:It depends on what values you know and what is your unknown.Explanation:When you investigate the components of a vector, you normally use component in two axes which are perpendicular to each other, and decompose the vector in component in such axes.The fact that the components are perpendicular is quite important, because you can use trigonometric functions associated with a right angle triangle (see attached figure).Once you have clear which of the two acute angles is going to be used to define the trigonometric relationships, you can immediately assign the following names to the vector components and to the vector itself. Please look at the picture.The component "opposite" to the angle you will be using is referred to as "opp" in the image (this is pictured in blue). The component "adjacent" to the angle of reference is called "adj" in the image and pictured in green,The actual vector is the "hypotenuse" of the right angle triangle defined by the vector and its components and referred as "hyp" in the picture (pictured in red in the image).Now, depending on what component you need to find, you use the most convenient trig relationship (the one that has more known values) to find an unknown. These relationships are:[tex]sin(\theta) = \frac{opp}{hyp} \\cos(\theta) = \frac{adj}{hyp} \\tan(\theta)= \frac{opp}{adj}[/tex]and solve in the selected simple ratio for the unknown.

Similar Solved Questions

1 answer

How many hours of flight from cleveland ohio to phoenix arizona

how many hours of flight from cleveland ohio to phoenix arizona...
1 answer

Ice melting is not a chemical change because​

ice melting is not a chemical change because​...
1 answer

How many hours of jogging at 5.5 miles per hour would be needed to lose 5 pounds

how many hours of jogging at 5.5 miles per hour would be needed to lose 5 pounds...
1 answer

Why was it so hard to pass laws in the 1800s?

Why was it so hard to pass laws in the 1800s?...
1 answer

How was the Declaration of Independence different from previous documents prepared by colonists? 1.It committed the colonies to being independent, 2.lt asked King George Ill to take action. 3.It did not list problems the colonists had with British rule, . 4.It was approved by the Continental Congress,

How was the Declaration of Independence different from previous documents prepared by colonists? 1.It committed the colonies to being independent, 2.lt asked King George Ill to take action. 3.It did not list problems the colonists had with British rule, ...
1 answer

The following selected accounts and account balances were taken from the records of Nowell Company. Except as otherwise indicated, all balances are as of December 31, 2016, before the closing entries were recorded. Consulting revenue $18,200 Cash 35,600 Cash received from common stock issued during 2016 6,000 Travel expense

The following selected accounts and account balances were taken from the records of Nowell Company. Except as otherwise indicated, all balances are as of December 31, 2016, before the closing entries were recorded. Consulting revenue $18,200 ...
1 answer

1 If x = 6, which inequality is true? A 5 - 3x > 10 B 3 - 5x 13 D 5 - x < -3

1 If x = 6, which inequality is true? A 5 - 3x > 10 B 3 - 5x 13 D 5 - x < -3...
1 answer

Which expression is equivalent to 3/4x -1/4xy

Which expression is equivalent to 3/4x -1/4xy...
1 answer

NEED HELP A.S.A.P (3x2 − 17x + 10) ÷ (x − 5)? A. 2x - 3 B. 2x + 3 C. 3x - 2 D. 3x + 2

NEED HELP A.S.A.P (3x2 − 17x + 10) ÷ (x − 5)? A. 2x - 3 B. 2x + 3 C. 3x - 2 D. 3x + 2...
2 answers

Name 5 ways to rember North, East, South, West (in order )

name 5 ways to rember North, East, South, West (in order )...
2 answers

What is the measure of PSQ in degrees? Angle PSR measures 99°. A) 9 degrees B) 24 degrees C) 45 degrees D) 54 degrees

What is the measure of PSQ in degrees? Angle PSR measures 99°. A) 9 degrees B) 24 degrees C) 45 degrees D) 54 degrees...
1 answer

4 (p+6) -11= 25 what is the value of p

4 (p+6) -11= 25 what is the value of p...
1 answer

What is a gene? a. the molecular unit of heredity b. a stretch of dna that contains the information to produce a functional rna or protein c. a genetic variant that produces a particular phenotype d. both a and b are correct e. both b and c are correct?

What is a gene? a. the molecular unit of heredity b. a stretch of dna that contains the information to produce a functional rna or protein c. a genetic variant that produces a particular phenotype d. both a and b are correct e. both b and c are correct?...
2 answers

2Al2O3 ---> 4Al + 3O2 How many moles of oxygen are produced when 26.5 mol of aluminum oxide are decomposed? 

2Al2O3 ---> 4Al + 3O2 How many moles of oxygen are produced when 26.5 mol of aluminum oxide are decomposed? ...
2 answers

A. 15 B. 125 C. 135 D. 45

A. 15 B. 125 C. 135 D. 45...
1 answer

Who knows how to do this?? If so help

Who knows how to do this?? If so help...
1 answer

I need help! Stories from the Bible What is the Israelites' departure from Egypt called? A. the Existence B. the Exit C. the Exodus D. the Exile ?

I need help! Stories from the Bible What is the Israelites' departure from Egypt called? A. the Existence B. the Exit C. the Exodus D. the Exile ?...
2 answers

Help meh please I'm bad at math​

help meh please I'm bad at math​...
2 answers

Put these in order: DNA replication, cell grows, cell division, cell prepares for mitosis

Put these in order: DNA replication, cell grows, cell division, cell prepares for mitosis...
1 answer

What is the next term in the pattern 0.4,0.8,1.2,1.6?

What is the next term in the pattern 0.4,0.8,1.2,1.6?...

-- 0.014634--