Trigonometry Flashcards
How do you calculate an unknown length using trigonometric methods?
To calculate this, you need to determine what ratio to use (SOH CAH TOA)
Then times the appropriate known angle (not 90 degrees) by a known length to find the unknown length.
What are the three trigonometric ratios?
The three trigonometric ratios are sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) and tangent (opposite/adjacent).
How do you use trigonometry to determine an unknown angle?
You need to use inverse trigonometry to find the unknown angle. Remember SOH CAH TOA.
Inverse formulas
sin-1(opposite/adjacent) = angle
cos-1 (adjacent/hypotenuse) = angle
tan-1(opposite/adjacent) = angle.
What is the difference between the angle of depression and angle of elevation?
Angle of depression is the angle between the horizontal and a line of sight from a higher point to a lower point. For example, an observer standing on a hill looking down at an object below would measure the angle of depression.
On the other hand, angle of elevation is the angle between the horizontal and a line of sight from a lower point to a higher point. For example, an observer standing at the base of a building looking up at the top of the building would measure the angle of elevation. (Calculatores.com)
What does the alternate angle rule mean?
The alternate angle rule means that because the lines for angle of depression and elevation are parallel, the angles have the same size.
What is SOH CAH TOA?
SOH CAH TOA is an easy reminder of the trigonometric ratios
Sine is Opposite/Hypotenuse
Cos is Adjacent/Hypotenuse
Tan is Opposite/Adjacent
What are the symbols for angles with hours, minutes and seconds?
The angle hour is the degree symbol, the angle minute is ‘ and seconds are “.
Can you use the 90 degree angle in trigonometry?
Yes, it won’t help you much.
What is inverse trigonometry used for?
Determining unknown angles.
What type of angle do you need to use to calculate trigonometric ratios?
Acute angles.
