Find the Exact value Assignment | Assignment Help Services

1. Be sure to attach a hand – sketch for this problem.

(a) First draw −????45° in standard position.

(b) Now draw the reference angle of −????45° in the same diagram. Do not find the value, just draw it.

Remember the definition: The reference angle of a given angle is the POSITIVE ACUTE angle formed by the terminal side of the angle and the NEAREST x – axis.

(c) Use the drawing in part (b) to find the value of the reference angle.

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2. Find the exact value of the following expression which basically stands for the sum of cos1° , cos2° ,cos3° all the way up to cos179°. Do not use a calculator.

cos1° + cos2°+ cos3° + ⋯⋯⋯ + cos178° + cos179°

Hints: See the hints below.

i. Start by establishing a relationship between the last term cos179° and the first term cos1°. To establish the relationship, first draw 179° in standard position and find its reference angle. Then use the reference angle and the quadrant in which 179° lies to rewrite cos179° in terms of cos1°. This will help you evaluate cos1°+ cos179°.

ii. Follow the above method to evaluate the intermediate sums cos2°+ cos178°, cos3° + cos177° and so on.

3. A person’s blood pressure follows a sine wave corresponding to the beats of the heart. A particular individual’s blood pressure at time t (measured in minutes) is

P (t) = 20 sin(160????????????????) + 110.

What does this tell us about the person’s (a) heart rate, (b) systolic and diastolic blood pressure?

4. Determine the amplitude, period, and phase shift for the function ????????= ????????cos(1????????????????− 13 ). Then graph one period of the function using a graphing utility such as Graphmatica, Desmos or something of your choice. Hand sketches will not be accepted. Get Math homework help today