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What determines whether cos(theta/2) is positive or negative?

A. The quadrant that theta is located in.
B. The quadrant that theta/2 is located in.
C. The quadrant that 2theta would be located in.
D. It doesn't matter
Suppose cos(theta) = -5/13 and tan<0 find sin(2theta)
Suppose tan(theta) = 4/3 and csc<0, find tan(theta/2)
Find at least one solution to the following equation: sin(x^2 −1)/ 1−sin(x^2 −1) = sin(x) + sin^2(x) + sin^3(x) + sin^4(x) +···
Two fire spotting towers are 17 km apart on an east-west line. From Tower A, a fire is seen
on a bearing of 130°. From Tower B, the same fire is spotted on a bearing of 200°. Which
tower is closest to the fire and how far is that tower from the fire? Draw a labelled diagram.

At an angle of elevation 610 captain on a ship noticed a person on the top of a cliff waiving towards the ship. To see him better, captain moved his ship 92m closer to the cliff. The angle of elevation at that moment was 690 . Determine the height of the cliff to the nearest tenth of a meter.


A ship sails on course N30oE finds a lighthouse bearing 120o true, 5
miles away.


1.) How far should the ship sails to find the lighthouse due south?
Solve the following triangles. Identify the case # in each given
triangle.

6.) Given parts:

a= 173 b= 267 c=412
Solve the following triangles. Identify the case # in each given
triangle.

5.) Given parts:
A= 78°48' b= 726 c= 938
Solve the following triangles. Identify the case # in each given
triangle.

4.) b= 4.2 c= 3.5 C= 51°48'
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