Trigonometry test

MAC 1147-TRIG TEST 3 ________________________

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1. Simplify each expression

A. cscx.cosx B. 𝑐𝑜𝑡𝑥

1−𝑐𝑜𝑠𝑥

C. (1 – cosx)(1+ cosx) D. 𝑡𝑎𝑛𝑥

𝑐𝑠𝑐𝑥𝑠𝑒𝑐𝑥

2. Solve the following equations in the interval of 0≤ 𝑥 < 2𝜋

A. cos2x – cosx = 0

B. sin x = tan x

C. sin 2x = sin x

D. 4 cos2x – 1 =0

3. Solve the right angle triangle ABC angle C=90, given b = 20 and angle A= 40

4. Round to one decimal place. Solve the triangle ABC given

A. angle A=100 a= 16 b= 10

B a=15 b=10 c= 8 [HINT: find angle a first]

5. Find the area of the triangle ABC given

A. a= 25 b= 15 c= 20

B. angle A= 100 c= 18 a= 30

C. angle A= 40 c= 30 b= 12

6. Graph the following ( -3 , 𝜋

4 )

7. Write in polar from √5 + 2i

8. Find the magnitude and the direction V= 4i + 8j

9. Find the resultant and the direction V= 90N at 40° W= 55N at 120°

10. Find the magnitude and the direction of the vector P(3,-6) and Q(11,0)

11. Find the angle between the two vectors. V= 2i+6j W= -4i+10j