# Tutor profile: Justin B.

## Questions

### Subject: Trigonometry

What is the sin of 45 degrees? What is the cos of 45 degrees? Using these answers, show that tan 45 = 1

The sin of 45 degrees is radical(2)/2 The cos of 45 degrees is radical(2)/2 Using the identities for the tangent function, tan(x) = sin(x)/cos(x) We show sin(45)/cos(45) = [radical(2)/2] / [radical(2)/(2)] = 1 *NOTE* Any non-zero number divided by itself is equal to one.

### Subject: Geometry

A triangle has an angle ratio of 3:5:4. What is the measurement of each angle in the triangle?

For this question, one must realize that every triangle has an area of 180 degrees. Thus the ratio 3:5:4 can be expressed as an addition equation with "x" as our unknown variable 3x + 5x + 4x = 180 12x = 180 x = 15 Now we take our ratio to figure out each side: 3x = 3*15 = 45 degrees 5x = 5*15 = 75 degrees 4x = 4*15 = 60 degrees

### Subject: Algebra

Jonny wanted to purchase some food from a restaurant. A slice of pizza costs $2, the cheeseburger costs twice as much as the pizza, the fries cost $2.50 less than the cheeseburger, and icecream costs half the price of the fries. How much money would Jonny have to pay if he bought all of these food items?

To answer this question, we need to figure out how much each item costs: Pizza = $2 Cheeseburger: 2*$2= $4 Fries: $4 - $2.50 = $1.50 Ice Cream: $1.50/2 = $0.75 The Total Cost is Pizza + Cheeseburger + Fries + Ice Cream which is $2 + $4 + $1.50 + $0.75 = $8.25 Jonny would need to pay $8.25 to buy his food items

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