Pre Calculus 4.2 Practice
Find the exact value of cot (-π/2)
0
A person's blood pressure (in millimeters of mercury) while resting is given by the function R(t) = 25sin(2πt)+120, where t is time in seconds. Find his blood pressure after 1 second.
120
Find all possible values of t that corresponds to the given point P(x,y) on the unit circle. P(1/2, -√3/2). Choose the correct answer. A. 5π/3 + 2πn, n is an integer. B. π/4 + 2πn, n is an integer. C. 5π/3 + nπ/2, n is an integer. D. π/6 + 2πn. n is an integer.
A.
Find all possible values of t that correspond to the given point P(x,y) on the unit circle. P(1/2, √3/2). Choose the correct answer. A. 5π/3 + 2πn. n is an integer. B. π/3 + 2πn, n is an integer. C. π/4 + 2πn, n is an integer. D. π/3 + nπ/2, n is an integer.
B
Determine whether the given point (1/√11, 6/√11) is on the unit circle.
No
Determine the missing coordinate of the point (-1/5,y) that lies on the graph of the unit circle in quadrant III. (Simplify and use integers or fractions)
The missing coordinate is y = -2√6/5
Determine whether the point (-√21/7, -2√7/7) is on the unit circle.
Yes
The depth of water, d feet, in a channel t hours after midnight is d = 2cos(π/7t)+9. Find the channel depth at a) 9 PM (low tide) b) 2 PM (high tide) Simplify.
a) 7 b) 11
The point P(t)= (x,y) is the terminal point on the unit circle. If y = -1/2 and x > 0, find the value of cos t. Simplify for answer.
cos t = √3/2
Find sin t, cos t, and tan t for the given value of t. t = 27π/2.
sin = -1 cos = 0 tan = not defined.
Use symmetries to find sin t, cos t, and tan t for the given value of t. t = -5π/6
sin = -1/2 cos = -√3/2 tan = √3/3
Use symmetries to find sin t, cos t, and tan t for the given value of t. t = 5π/4
sin = -√2/2 cos = -√2/2 tan = 1
Find sin t, cos t, and tan t for t = -55π/6.
sin = 1/2 cos = -√3/2 tan = -√3/3
Use symmetries to find sin t, cos t, and tan t for the given value of t. t = 17π/6
sin = 1/2 cos = -√3/2 tan = -√3/3
Find sin t, cos t, tan t for t = -47π/4.
sin = √2/2 cos = √2/2 tan = 1
Use symmetries to find sin t, cos t, and tan t for the given value of t. t = -5π/3
sin = √3/2 cos = 1/2 tan = √3
Find the values of sin t, cos t, tan t, csc t, sec t, an cot t if P = (-√3/2, -1/2) is the point on the unit circle that corresponds to the real number t.
sin t = -1/2 cos t = -√3/2 tan t = √3/3 csc t = -2 sec t = -2√3/3 cot = √3
Find the values of sin t, cos t, tan t, csc t, sec t, an cot t if P = (1/2, -√3/2) is the point on the unit circle that corresponds to the real number t.
sin t = -√3/2 cos t = 1/2 tan t = -√3 csc t = -2√3/3 sec t = 2 cot t = -√3/3
Find the values of sin t, cos t, tan t, csc t, sec t, an cot t if P = (-√3/2, 1/2) is the point on the unit circle that corresponds to the real number t.
sin t = 1/2 cos t = -√3/2 tan t = -√3/3 csc t = 2 sec t = -2√3/3 cot t = -√3
Determine the missing coordinate of the point (x, -1/4) that lies on the graph of the unit circle in quadrant IV. (Simplify and use integers or fractions)
x = √15/4
