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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:Trigonometric Identities, Graphs and FormulasSection:Sum and Difference Formulas
 
Problem: 1

Solve

to a trigonometric function having a single angle and give its angle.

Problem: 3

Simplify the expression cos 45o cos 25o – sin 45o sin 25o without actually solving it.

Problem: 5

Solve

to a trigonometric function having a single angle and give its angle.

Problem: 7

Express

as a trigonometric function of a single angle.

Problem: 9

Find the exact value of the expression: tan(240 – 135 )

Problem: 11

Write in terms of sin x and cos x.

Problem: 13

Write in terms of sin x and cos x.

Problem: 15

Simplify.

Problem: 17

Simplify

to a trigonometric function having single angle.

Problem: 19

Find the numerical value of the expression: sin 315 .

Problem: 21

Find the numerical value of the expression: cos 165

Problem: 23

Get the exact value of .

Problem: 25

Get the exact value of .

Problem: 27

Evaluate sin (u + v) using cos u = 5/8 with 0 u π/2 and sin v = –8/11 with π v 3π/2.

Problem: 29

Evaluate tan (u + v ) using cos u = 5/8 with 0 u π/2 and sin v = –8/11 with π v 3π/2.

Problem: 31

Show that cot (π – x) = –cot x.

Problem: 33

Show that

Problem: 35

Show that

Problem: 37

Find the value of x.

(0 x 2π)

Problem: 39

Solve for x in the range 0 x 2π.

Problem: 1

Solve

to a trigonometric function having a single angle and give its angle.

Problem: 3

Simplify the expression cos 45o cos 25o – sin 45o sin 25o without actually solving it.

Problem: 5

Solve

to a trigonometric function having a single angle and give its angle.

Problem: 7

Express

as a trigonometric function of a single angle.

Problem: 9

Find the exact value of the expression: tan(240 – 135)

Problem: 11

Write in terms of sin x and cos x.

Problem: 13

Write in terms of sin x and cos x.

Problem: 15

Simplify.

Problem: 17

Simplify

to a trigonometric function having single angle.

Problem: 19

Find the numerical value of the expression: sin 315.

Problem: 21

Find the numerical value of the expression: cos 165

Problem: 23

Get the exact value of .

Problem: 25

Get the exact value of .

Problem: 27

Evaluate sin (u + v) using cos u = 5/8 with 0 u π/2 and sin v = –8/11 with π v 3π/2.

Problem: 29

Evaluate tan (u + v ) using cos u = 5/8 with 0 u π/2 and sin v = –8/11 with π v 3π/2.

Problem: 31

Show that cot (π – x) = –cot x.

Problem: 33

Show that

Problem: 35

Show that

Problem: 37

Find the value of x.

(0 x 2π)

Problem: 39

Solve for x in the range 0 x 2π.