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learn trigonometric ratios of allied angles
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From Yahoo Answers
Question:How do I find the 6 trigonometric ratios(sin, cos, tan, csc, sec, cot) for both a triangle where one of the sides is a square root, and where all Im given is an angle (120 degrees for example). help please??
Answers:You can not define a triangle by one angle and one side ! That does not determine an unique triangle. If you want the values for 120 , learn the unit circle ! sin 120 = ( 3)/2 cos 120 =  1/2 tan 120 =  3 csc 120 = (2 3)/3 sec 120 =  2 cot 120 =  ( 3)/3 QED
Answers:You can not define a triangle by one angle and one side ! That does not determine an unique triangle. If you want the values for 120 , learn the unit circle ! sin 120 = ( 3)/2 cos 120 =  1/2 tan 120 =  3 csc 120 = (2 3)/3 sec 120 =  2 cot 120 =  ( 3)/3 QED
Question:I was looking through the sample problems in my textbook and I don't understand why cos pi/6 becomes sqrt 3/2. The sample problem was done like this:
cos pi/6 = x/50
sqrt 3/2 = x/50
50 squrt 3 / 2 = x
x = 25 sqrt 3
Can someone please explain to me why cos pi/6 turned into sqrt 3/2?
Answers:Cos pi/6 becomes sqrt(3)/2 when you use it on a unit circle. This will help: http://en.wikipedia.org/wiki/Unit_circle The unit circle's hypotenuse is always 1 [drawing the circle], and like you said in the question we use it for ratios in triangles.
Answers:Cos pi/6 becomes sqrt(3)/2 when you use it on a unit circle. This will help: http://en.wikipedia.org/wiki/Unit_circle The unit circle's hypotenuse is always 1 [drawing the circle], and like you said in the question we use it for ratios in triangles.
Question:Determine the exact value of this trigonometric ratio:
11pi / 6
Answer: 3 / 3
Please show your steps working towards the answer, additionally do not use a calculator in any of your steps, your help is much appreciated. ...The answer is not 2, I gave the answer in my question. I meant tan of my mistake.
Answers:Hi, Tan(11pi/6) converting the angle from radians into degrees => Tan(11*180/6) => Tan(330) =>  3 / 3 so the answer is negative 3 / 3 not 3 / 3. Hope I helped.
Answers:Hi, Tan(11pi/6) converting the angle from radians into degrees => Tan(11*180/6) => Tan(330) =>  3 / 3 so the answer is negative 3 / 3 not 3 / 3. Hope I helped.
Question:Hey. I know what sin, con, and tan are. I'm just having trouble with one set of problems. Here's what the directions on the worksheet say:
Let angle A be an acute angle in a right triangle. Approximate the measure of angle A to the nearest tenth of a degree.
1. sin A= 0.16
2. tan A= 8.4
3. cos A= 0.81
There are no pictures or diagrams. My guess is that I plug in the numbers in my calculator for cos1, sin1, and tan1, but I'm not sure. Please explain atleast one of the problems from above so I can do the rest of my worksheet correctly.
Thanks : )
Thanks.
Answers:You're right. Just do the inverse of each function. So for A, you would do sin1 0.16 and get an answer.
Answers:You're right. Just do the inverse of each function. So for A, you would do sin1 0.16 and get an answer.
From Youtube
[1] Tutorial  Trigonometric Ratios :Hello there! I have made this video to help others learn how to solve Trigonometric Functions and to learn about Right Angle Triangles!  Thank You for Watching My Video!  Any Questions please feel free to email me at: Mathematics.Trig@gmail.com
[2] Tutorial  Trigonometric Ratios :Hello there! I have made this video to help others learn how to solve Trigonometric Functions and to learn about Right Angle Triangles!  Thank You for Watching My Video!  Any Questions please feel free to email me at: Mathematics.Trig@gmail.com