This has to do with equations and graphs of trigonometric functions. please answer all of the questions and please show all of your work so it is easier to understand.

1.)12cos(2(x-45degrees))+8=10, 0 degrees

Answers are to be from smallest to largest and in degrees. Round your answers to the nearest tenth.

answer 1=

answer 2=

answer 3=

answer 4=

2.)4cos(x-45 degrees)+7=10, 0 < x < 360 degrees

Answers are to be from smallest to largest and in degrees. Round your answers to the nearest tenth.

answer 1=

answer 2=

3.)6.2 sin (4(x+8 degrees))-1=4, 0 degrees < x < 360 degrees

Answers are to be from smallest to largest and in degrees. Round your answers to the nearest tenth.

answer 1=

answer 2=

answer 3=

answer 4=

answer 5=

answer 6=

answer 7=

answer 8=

4.) 5.2 sin (45(x+8 degrees))-1=-3, 0 < x < 30 degrees

Answers are to be from smallest to largest and in degrees. Round your answers to the nearest tenth.

answer 1=

answer 2=

answer 3=

answer 4=

answer 5=

answer 6=

answer 7=

5.) the first maximum of a sine function occurs at point (30 degrees, 24) and the first minimum to the right of the maximum occurs at (80 degrees, 6), determine the following.

Period= _____ degrees

amplitude=

mid-line is y=

6.)the first maximum of a sine function occurs at point (20 degrees, 22) and the first minimum to the right of the maximum occurs at (90 degrees, 8), determine the following.

Period= _____ degrees

amplitude=

mid-line is y=

7.) the first maximum of a cosine function occurs at points (0, 4) and the first minimum to the right of the maximum occurs at (2pi/6, -16), determine the following.

period= ___ radians

amplitude=

mid-line is y=

8.) An electron oscillates back and forth 50 times a second, and the maximum and minimum values are 10 and -10 respectively.

period= ____ of a second

amplitude=

mid-line is y=

9.)the first maximum of a cosine function occurs at points (pi/3, 5) and the first minimum to the right of the maximum occurs at (11pi/6, -7), determine the following.

period= ___ radians

amplitude=

mid-line is y=

10.) The university of Calgary's Institute for Space research is leading a project to launch Cassiope , a hybrid space satellite. Cassiope will follow a path that may be modelled by the function h(t)=350sin28pi(t-25)+400, where h is the height ,in kilometres ,of the satellite above the Earth and t is the time in days.

What is the period of the satellite?______ of a day.

How many minutes will it takethe satellite to orbit the Earth? (Round your answer to the nearest tenth)

_____ minutes.

11.) A point on an industrial flywheel experiences a motion described by the function h(t)=13cos(2pi/0.7t)+15, where h is the height, in metres and t is the time in minutes.

What is the maximum height of the point?_____ metres.

After it starts, at what time does it first hit its maximum height?_____ minutes.

What is the minimum height of the point?_____ metres.

At what time is the minimum first reached.______ minutes.

What is the height of the point if the wheel is allowed to turn for 72 minutes (round it to the nearest thousandth). _____ metres.