Trigonometry Answers

Solve for the given variable.

2x-3y=5 for y

3a. In last week’s football game, Ralph scored 6 less than twice what Tommy scored. The sum of their scores is 30. How many points did Ralph and Tommy score individually?

3b. The ages of three sisters are three even consecutive integers. If the sum of the 1st, four times the 2nd, and twice the 3rd is 86, what are the three ages?

3c. You are buying a computer at a markdown price of $960. If the markdown price was 20% off the original price, how much was the computer originally?

Solve the given equation and determine whether the equation is an identity, a conditional equation or an inconsistent equation.

1a. 2(x+5)=4x-2(x-5)

1b. (x/2)-(3/4)=(10-15x)/(6)

1c. 5x-3=5+5x

prove that cotx+tanx=secx+cscx is equal

Express each of the following in the form r sin(x+a), where r>0 and 0<a<2pi.
(a )5cosx+12sinx
(b) 12cosx+5sinx

A boat leaves a harbour A on a course of 120 degrees and it sails 50km in this direction until it reaches point B. How far is B east of A and what distance south of A is B?

g(x) = 3x h(x) = x3^-x2^+x-1

Solve each quadratic in form equation.

1. 4y^4+9=13y^2

2. x-3x^(1/2)+2=0

Solve, write your answer in interval notation and graph the solution set.

2c. |6x+5| greater than or equal to -5

2d. |3x| less than -1

Simplify and Solve

4 square root of -13 - 6 square root of -13