Answer:
Answers Below.
Explanation:
Hello!
Let's first identifiy where the tereminals side actually is - Quadrant II. The original angle and the reference angle together form a straight line along the x-axis, so their sum is 180°. The second quadrant is in the upper left-hand corner of the plane. X has negative values in this quadrant and y has positive values. Quadrant III: The third quadrant is in the bottom left corner. Both x and y have negative values in this quadrant. The fourth quadrant (Q IV) is in the bottom right corner. X has positive values in this quadrant and y has negative values. Quadrant I of course has all positive values.
The five tig functions are:
Sine (sin)
Cosine (cos)
Tangent (tan)
Secant (sec)
Cosecant (csc)
Cotangent (cot)
The question asks for us to use the value of theta to find the rest of the trig values.
costheta=12/37 = 0.9999
Now, plug this number into the rest of them!
sin(0.9999)=0.01745
tan(0.9999)=0.01745
The last three are just reciporcals of the previous functions:
sec(x) = 1/ cosx = 1/cos(0.9999) = 1.0002
csc(x) = 1/ sinx = 1/sin(0.9999)= 57.304
cot(x) = 1/tanx = 1/tan(0.9999)= 57,296
The point of the unit circle is that it makes other parts of mathematics easier and neater. For instance, in the unit circle, for any angle θ, the trig values for sine and cosine are clearly nothing more than sin(θ) = y and cos(θ) = x.
Because the answers are in Quadrant IV, all the x values will be positive.
Hope this helps!