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Question : Give the value of sint where t is the radian measure of the angle shown. : 2163386

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

1) Give the value of sint where t is the radian measure of the angle shown.

A) 2

B) -2

C) (2/√(8)) = (√(2)/2)

D) - (2/2) = -1

E) none of these

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

2) Give the values of sint and cost, where t is the radian measure of the angle shown.

Enter your answer as a, b (unlabeleD) where a represents sint and b represents cost.

3) Give the values of sint and cost, where t is the radian measure of the angle shown.

Enter your answer as a, b (unlabeleD) where a represents sint and b represents cost.

4) Refer to the triangle whose sides and angles are labeled below. Estimate t if a = 24, b = 10, and c = 26.

Enter just a real number rounded to one decimal place.

5) Refer to the triangle whose sides and angles are labeled below. If t = 0.5 and a = 5, find c.

Enter just a real number rounded to one decimal place (unlabeleD) .

6) Refer to the triangle whose sides and angles are labeled below. If t = 0.6 and a = 4.1, find b.

Enter just a real number rounded to one decimal place (unlabeleD) .

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the indicated trigonometric function, where θ is the radian measure of the given angle. Give an exact answer with a rational denominator.

7) Find sinθ.

A) (3√(13)/13)

B) (√(13)/2)

C) (2√(13)/13)

D) (√(13)/3)

8) Find cosθ.

A) (√(109)/3)

B) (3√(109)/109)

C) (√(109)/10)

D) (10√(109)/109)

9) Find sinθ.

A) (3√(7)/7)

B) (4√(7)/7)

C) (√(7)/4)

D) (3/4)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

10) Find t such that 0 ≤ t ≤ π and cost = cos(- (2π/3)).

Enter just a reduced quotient of form (a/B) with π in the numerator (unlabeleD) .

11) Find t such that 0 ≤ t ≤ π and cost = cos(- (7π/6)).

Enter just a reduced quotient of form (a/B) with π in the numerator (unlabeleD) .

12) Find t such that - (π/2) ≤ t ≤ (π/2) and sint = sin((10π/3)).

Enter just a reduced quotient of form (a/B) with π in the numerator (unlabeleD) .

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

13) Find the t such that 0 ≤ t ≤ π and cost = cos(- (2π/3)).

A) (π/6)

B) (π/3)

C) (2π/3)

D) - (π/3)

E) none of these

14) Find t such that - (π/2) ≤ t ≤ (π/2) and sint = sin((3π/4)).

A) (π/2)

B) (π/4)

C) - (π/3)

D) (π/6)

E) none of these

15) Find t such that 0 ≤ t ≤ (π/2) and sint = cost.

A) (π/3)

B) (π/4)

C) 0

D) (π/8)

E) none of these

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

16) Determine the value of sint and cost when t = 3π.

Enter your answer as just a, b where a represents sint and b represents cost (no labels)

17) Determine the value of cost when t = -7π.

A) 1

B) (√(2)/2)

C) -1

D) -2

E) none of these

18) Determine the value of sint when t = (11π/2).

A) -1

B) (1/2)

C) 0

D) 1

E) none of these

19) Suppose sint = - (5/13) and cost is negative. What is cost?

A) - (18/13)

B) - (12/13)

C) - (8/13)

D) (11/13)

E) none of these

Use the properties of the sine and cosine to solve the problem.

20) Assume sin(0.47) = 0.45

Find cos(0.47), sin(-0.47), and cos((π/2) - 0.47).

A) cos(0.47) = -0.89

sin(-0.47) = 0.45

cos((π/2) - 0.47) = 0.45

B) cos(0.47) = 0.89

sin(-0.47) = 0.45

cos((π/2) - 0.47) = -0.45

C) cos(0.47) = 0.55

sin(-0.47) = -0.45

cos((π/2) - 0.47) = 0.89

D) cos(0.47) = 0.89

sin(-0.47) = -0.45

cos((π/2) - 0.47) = 0.45

21) Assume cos(0.67) = 0.78

Find sin(0.67), cos(-0.67), and cos(0.67 - 8π).

A) sin(0.67) = 0.22

cos(-0.67) = -0.78

cos(0.67 - 8π) = -0.78

B) sin(0.67) = 0.63

cos(-0.67) = 0.78

cos(0.67 - 8π) = 0.78

C) sin(0.67) = 0.63

cos(-0.67) = -0.78

cos(0.67 - 8π) = -0.78

D) sin(0.67) = -0.63

cos(-0.67) = 0.22

cos(0.67 - 8π) = 0.78