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Kingshuk M.
Risk Consultant at Marsh & McLennan
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Trigonometry
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Question:

In a right triangle ABC with angle A equal to 90o, find angle B and C so that sin(B) = cos(B).

Kingshuk M.

Let b be the length of the side opposite angle B and c the length of the side opposite angle C and h the length of the hypotenuse. sin(B) = b/h and cos(B) = c/h sin(B) = cos(B) means b/h = c/h which gives c = b The two sides are equal in length means that the triangle is isosceles and angles B and C are equal in size of 45o.

Basic Math
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Question:

Mrs. Rodger got a weekly raise of \$145. If she gets paid every other week, write an integer describing how the raise will affect her paycheck.

Kingshuk M.

Let the 1st paycheck be x (integer). Mrs. Rodger got a weekly raise of \$ 145. So after completing the 1st week she will get \$ (x+145). Similarly after completing the 2nd week she will get \$ (x + 145) + \$ 145. = \$ (x + 145 + 145) = \$ (x + 290) So in this way end of every week her salary will increase by \$ 145.

Algebra
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Question:

Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7

Kingshuk M.

First expand the term - 3(2x3 + 4x -1) 12x3 - 3(2x3 + 4x -1) - 5x + 7 = 12x3 - 6 x3 - 12 x + 3 - 5x + 7 Group like terms = 6 x3 - 17 x + 10

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