Trigonometry

How many degrees are there in a triangle? answer

There are six functions in trigonometry and they are called - sine, cosine, tangent, cosecant, secant and cotangent.
In measuring angles such as the 30^o angle, the symbol ^o means degree and   ∕  means division.

Using the above triangle we can write the six trig functions of the 30^o angle and they are:

sin 30o = 1/2 = opposite side ∕ hypotenuse	csc 30o = 2/1 = 2 = hypotenuse ∕ opposite side
cos 30o = (√3)/2 = adjacent side ∕ hypotenuse	sec 30o = 2/√3 = hypotenuse ∕ adjacent side
tan 30o = 1/√3 = opposite side ∕ adjacent side	cot 30o = (√3)/1 = √3 = adjacent side ∕ opposite side

Study the above and look for a pattern. By pattern I am asking how did we use the info given by the right triangle to find the sine, cosine, tangent, cosecant, secant and cotangent of the 30^o angle.

What are the six trig functions of the 60^o angle. I will tell you that the sine of 60^o = (√3)/2

What are the values of the remaining trig functions for the 60^o angle?

         sine 60^o = (√3)/2                         cosecant 60^o = ? answer
    cosine 60^o = ? answer          secant 60^o = ? answer
           tangent 60^o = ? answer        cotangent 60^o = ? answer

REMEMBER THAT THE TRIG VALUES OF ANY ANGLE WILL NOT CHANGE DUE TO THE SIZE OF THE TRIANGLE.
For example - the sin of 30^o will always be .5

REGARDLESS OF THE SIZE OF THE TRIANGLE.
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