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Consider the point (-6, -8) on the circle x^2 + y^2 = 100.
a) Determine the primary trigonometric ratios for the principal angle.
b) Determine the principal angle to the nearest degree.

 May 5, 2022
 #1
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a)    r = 10   x = -6  y  =  -8

sin A  =  -8/10  =   -4/5  

cos A =  -6/10 =  -3/5

tan A  =  -8/-6 =  4/3

cot A =  3/4

sec A  =  5/-3

csc A =  -5/4

 

b)   arcsin (-4/5)  = -53.1°

However, this  angle lies in Quad 3   because both x and  y are  negative

So....the angle is  180 + 53.1 =  233.1°

 

cool cool cool

 May 5, 2022

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