Show:
5.1
5.2/5.5
6.1/6.2
/6.3
100

Simplify.

tanxcosx

sinx

100

Find all solutions of the equation in the interval 

0, 2π

.

=cotθ0.7725
=0.91, 4.05
θ

100

Looking up, Shen sees two hot air balloons in the sky as shown. He determines that the lower hot air balloon is 810  meters away, at an angle of 19 from the vertical. The higher hot air balloon is 935 meters away, at an angle of 15  from the vertical. How much higher is the balloon on the right than the balloon on the left?

Do not round any intermediate computations. Round your answer to the nearest tenth.

x=137.3

100

a=64, b=49 c=35

A=97.9, B=49.3, C=32.8 

200

Simplify.

cotxtanx

1

200

h(t)=18.5-16.4cos(2pie/5t)


 meters above the ground?


Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a minute. (If there is more than one answer, enter additional answers with the "or" button.)

t=0.82

t=4.18

200

An 8ft ladder leans against the side of a house. How far is the bottom of the ladder from the side of the house when the angle of elevation of the ladder is 68? Round your answer to the nearest tenth.

3.0ft

200

A=128, b=65, c=38

B=33.3, C=18.7, a=93.3

300

Prove the identity.

=secx−1sin2xcosx

cosx=cosx

300

2sin2x-root3=0

pie/6, pie/3, 7pie/6, 4pie/3

300

c=32

b=38

C=27

Find A, a, B

a= 60.8, A=120.4, B=32.6

or

a=6.9, A=5.6, B=147.4

300

Consider a triangle 

ABC

 like the one below. Suppose that a=16, b=18, c=33  (The figure is not drawn to scale.) Solve the triangle.

Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.

If there is more than one solution, use the button labeled "or".

A=13.1

B=14.8

C=152.1

400

Simplify and give steps 

Sec(-x)-sin(-x)tan(-x)=cosx

cosx=cosx

400

(0, 2pie)

(cscx-1)(secx-1)=0

0, pie/2

400

A ramp 18ft long rises to a platform. The bottom of the platform is 11ft from the foot of the ramp. Find 

x
, the angle of elevation of the ramp. Round your answer to the nearest tenth of a degree.


52.3

400

Chau wants to know the length of a tunnel built through a mountain. To do so, he makes the measurements shown in the figure below. Use these measurements to find the length of the tunnel.  

                   x

                           104

    219                  73

213.2

500

Prove this Idenity 

(1-cos2x)cot2x



cos2x

500

Find all solutions to the equation.

root3secx+2=0

5pie/6+2kpie,KeZ

7pie/6+2pie,KeZ

500

solve 

C=90

B=22

b=49

A= 41

a=19.1

c= 29.2

500

Two airplanes leave an airport at the same time. An hour later, the planes are 212km apart. If one plane has traveled 181km  and the other has traveled 299km during the hour, find the angle 

θ
 between their flight paths. See the figure below.


44.5