BQ #2 !!!!!!!!!!!!!!!
First question
First off, a period is how long it takes for a pattern to occur fully in. For sine quadrant 1 is positive, quadrant 2 is positive, qaudrant 3 is negative, and quadrant 4 is negative. Therefore, the pattern is + - + - . Since it takes the whole unit circle to complete this pattern it takes 2pie. For cosine qaudrant 1 is positive , 2 is negative, 3 is negative, and 4 is positive. So the pattern that occurs is + - - + . Again for the pattern to repeat , since there is no repeating unit like sine, it is 2pie. The first qaudrant of tangent is positive the second negative the third positive and the 4th negative. The pattern in + - + - . They pair + - repeats twice so the period is pie because it takes pie units to complete the cycle.
Question #2
Amplitudes are half the distance between the highest and lowest points on the graph. Sine and Cosine graphs have these. Amplitudes are like restrictions. When taking the sine or cosine inverse , the number for these two trig identies are between -1 and 1 because they take the x/r and y/r. The other trig identies dont have restrictions at all and thats why they dont have amplitudes.
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