Science Bowl Practice Questions

Math - 2

10.

Multiple Choice: The cotangent of the angle A is equal to which of the following?

w) cot(-A) (pron: cotangent of the angle minus A)
x) -cot(-A) (pron: minus the cotangent of the angle minus A)
y) -cot(A) (pron: minus the cotangent of the angle A)
z) none of the above

ANSWER: X -- -COT(-A)

11.

Multiple Choice: The tan(180o + A) (read: tangent of the quantity 18 degrees plus A) is equal to which
of the following?

w) tan(A)
x) -tan(A)
y) tan(-A)
z) none of the above.

ANSWER: W -- TAN(A)

12.

Multiple Choice: The sin(2A) (read: the sine of angle 2A) is equal to which of the following
relationships?

w) sin(A) - cos(A) (read: sine of A minus the cosine of A)
x) 3sin(A) / cos(A) (read: 3 times the sine of A divided by the cosine of A)
y) 2 sin(A) cos(A) (read: 2 times the sine of A times the cosine of A)
z) tan(A) - 1 (read: tangent of A minus 1)

ANSWER: Y -- 2 TIMES THE SIN(A) TIMES THE COS(A)

13.

Multiple Choice: The sin2(A/2) (read: sine squared of angle A divided by 2) is equal to which of the
following relationships? Is it:

w) (1/2)[1 - cos(A)] (read: 1/2 times the quantity one minus the cosine of the angle A)
x) (1/2)[1 - sin(A)] (read: 1/2 times the quantity one minus the sine of the angle A)
y) 2 sin(A) cos(A)
z) none of the above

ANSWER: W -- (1/2)[1 - cos(A)]

14.

Short Answer: For what value of the angle "A" is the cos(A) equal t the sin(A)?

ANSWER: 45o or p/4 RADIANS or (45o + n times 180o)

15.

Short Answer: Given that the log[base 10](3) = .477, what is the log[base 10] of 300?

ANSWER: 2.477