We started today’s class with a warm up on Special Triangles before taking our first benchmark of the semester (#32). After a quick check of the homework we discussed what it means to solve a right triangle (which means finding all sides and all angles in the triangle). Here are the notes on section 9.6, but the assignment on notes is incorrect. The correct assignment is #43 page 570 #12-32 (even), 59-62 (all).
Coming up:
- Benchmark #29: Trig functions and retake of #32 on Monday, 1/22
Posting for points question:
What is the purpose of the inverse trigonometric functions? Give a unique example.
And watch for the next episode of the Geometer’s ScreenCast for benchmark #29!
January 22, 2007 at 4:43 pm
Purpose of the inverse trigonometric functions is to find all 3 sides and all 3 angles.
January 22, 2007 at 5:47 pm
the purpose is to be able to identify all 3 side lengths without using pythagorean theorem or 3 side info. simply need 1 angle and one side. from there you plug in SOH CAH TOA and solve!
January 22, 2007 at 5:49 pm
Trig functions are all periodic graphs; none of them pass the horizontal line test. None of the graphs are 1-1 and do not have inverse functions.
January 22, 2007 at 5:53 pm
Wow, Isacc, you should just skip geometry and go right to Precalculus. While what you said was true, it’s not what we are currently studying. Try again!
January 22, 2007 at 9:25 pm
Identify all 3 sides and all 3 angles
January 23, 2007 at 9:24 am
You need to identify all 3 sides. Plot out what angles will be adjacent, opposite side, and hypotenuse. Then find if these are Sin, Cos, and Tan. Use the Soh Cah Toa.
January 23, 2007 at 10:22 am
you need to find all 3 sides and all 3 angles but if you find 3 things it gets easier to find the rest.
January 23, 2007 at 12:56 pm
locate 3 angles and 3 sides
January 23, 2007 at 5:11 pm
the purpose of a tri function is the prossess to find the three angles and the three sides of any one triangle
January 23, 2007 at 5:40 pm
You need to find all three sides and all 3 angles.
January 23, 2007 at 5:40 pm
You need to identify all 3 sides. Plot out what angles will be the opposite side, the adjacent and the hypotenuse. Then find if these are Sin, Cos, and Tan. then use the Soh Cah Toa to solve
January 23, 2007 at 5:46 pm
I think we are missing part of the question. Read the first page of the notes here. It tells us exactly what inverses are and what they do.
January 24, 2007 at 4:32 pm
the reason why we use the inverse is because we are trying to find the angle’s of the triangle.We find it by using the ratio’s and using soh-cah-toa
January 24, 2007 at 7:16 pm
The purpose of the inverse trigonometric functions is to find the missing angles of a right triangle.
For example, if you’re given a right triangle with a missing angle (x) and are given an opposite of 6 and an adjacent of 3, then the equation would look like this: Tan negative 1 power=(6/3). That equals 63.43 degrees. The other missing angle (y) would look like: Tan negative 1 power=(3/6). That equals 26.57 degrees. Now if you add all of the angles together, then you should come up with about 180 degrees.
January 24, 2007 at 7:57 pm
Inverse operations: sin-1, cos-1, and tan-1. The purpose of the inverse trig functions is that it takes the ratio and gives the angle of a right triangle. Here is an example:
|\
| \
15 | \ y
| \
|___x\
8
= 8squared + 15squared = ysquared
= 64 + 225 = ysquared
= 289 = ysquared
= square root of 289 = square root of y
= 17 = y
= tanx = 15/8
= x=tan-1(15/8)
= x = 61.9
January 24, 2007 at 9:04 pm
The purpose of the inverse trigonometric functions is to find the angle.
tan -1 (opposite/adjacent)
cos -1 (adjacent/hypotenuse)
sin -1 (opposite/hypotenuse)
**solve with SOH – CAH – TOA
January 25, 2007 at 8:42 am
You need to be able to identify all 3 side lengths without using pythagorean theorem or 3 side info. You need one angle and one side. Then you plug in SOH-CAH-TOA to solve.
January 25, 2007 at 9:57 am
We use the inverse of the trig. functions so we can find the angles measurement. We then use soh-cah-toa to solve.
January 25, 2007 at 2:59 pm
You need to identify all 3 sides. Find out what angles will be the adjacent side, the oppisite and the hypotenuse. Then find if these are Sin, Cos, and Tan. then use the Soh-Cah- Toa to solve. But you have to be positive it is a right triangle.
January 26, 2007 at 10:21 am
The perpose of the inverse is to basically find the angles………..
January 27, 2007 at 11:28 am
The purpose of the inverse trigonometric function is to find the angles. You find the angles by using the inverse, then you take the ratio and use −1 function:
sin−1 (opposite/ hypotenuse) =
January 27, 2007 at 11:29 am
The purpose of the inverse trigonometric function is to find all 3 angles. You find the angles by using th inverse, then you take the ration and use −1 function:
To find
January 27, 2007 at 11:39 am
It turns out it was reading the angle sign as an html code so only part of what I typed showed up, explaining the three comments.
The purpose of the inverse trigonometric function is to find all 3 angles. You find the angles by using the inverse, then you take the ration and use −1 function:
sin−1 (opposite/ hypotenuse) = angle A
cos-1 (adjacent/ hypotenuse) = angle A
tan-1 (opposite/ adjacent) = angle A
Example: To find angle A of a right triangle, you have to use the inverse. Lets say 8 is opposite to angle A and 7 is adjacent to angle A. You use the inverse of tangent and multiply it by 8 divided by 7.
A=tan-1(8/7)
angle A=48.8
January 28, 2007 at 7:04 pm
you need to identify all three sides and all three angles