Thermodynamics: Problem Solving Problems

Name: __________________________ Rating: _____________
Course/ Yr. & Sec. ________________ Date: ______________
Instructor: _______________________

Exercise 2.3
SPECIAL ANGLES

A. Find the numerical values of each expressions

1. Tan 30⁰ + cos 45⁰

2. ( sin 60⁰ ) ²

3. 4 cos 45⁰ + ( tan 60⁰ + sec 45⁰)

B. Find the degree measure of the acute angle x

4. Tan x = 1

5. Cot x = 3

6. Sin x = 3/2

C. Prove that using the properties of special angles, the following equations are true.

7.If x = 45⁰, show that 2 cot² x = 2

8.If x = 60⁰ prove that 4 sin x + tan x = 3/3

9. If x = 60⁰, prove that 2 sec x – 3 = 1

2.4 Finding the Function

Press cos (the reciprocal of sec)
2. press 35
3. press o ‘ “
4. press =
5. press x -1
6. sec 35o = 1.2207746

B.Find o,if the values of the following functions are:

1.cos = 0.79863551 2. Cot = 1.279941632 Solution: Solution: 1. Press shift 1. Press Shift 2. Press cos 2. Press tan (the reciprocal of cot) 3. Press 0.79863551 3. Press 1.279941632 4. Press = 4. Press x-1 5.Press ⁰ ‘ “ 5. Press = 6. = 370 6. Press 0 ‘ “ 7. = 380

Name: _____________________________________ Rating: _____________
Course/ Yr & Sec. ___________________________ Date: _______________
Instructor: _________________________________ Exercise 2.4 Values of Trigonometric Functions

I. Find the values of the following trigonometric functions using calculator.

A. cos 890 23’

B. tan 45025’

C. sec 32046’

D. cot 250

E. csc 37.50

II. Find the values of angle A using calculator.
A. sec A = 1.37180

B. sin A =