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# Tutor profile: Justin B.

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Justin B.
Branch-Man's Math Tutoring
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## Questions

### Subject:Trigonometry

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Question:

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

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Justin B.

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

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Question:

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

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Justin B.

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

TutorMe
Question:

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?

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Justin B.

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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