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Nikhil J.

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Trigonometry

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Question:

SinA=1/2, find the value of CosA?

Nikhil J.

Answer:

By using the identity (SinA)^2+(CosA)^2=1 1/4+(CosA)^2=1 (CosA)^2=3/4 CosA=+ sqrt(3/4) or - sqrt(3/4)

Calculus

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Question:

Solve the inequality 3x+2<11

Nikhil J.

Answer:

3x+2<11 Subtracting 2 on both sides of inequality 3x+2-2<11-2 3x<9 Dividing by 3(positive number), sign of inequality will not change x<3 Answer is x<3

Algebra

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Question:

Consider a polynomial f(x)=x^3+2x^2-5x-6. Determine whether (x+1) is a factor of f (x).

Nikhil J.

Answer:

By the Factor theorem, (x + 1) is a factor of f (x) if f (–1) = 0. Obtain the value of f (–1). f(-1)=(-1)^3+2(-1)^2-5(-1)-6= -1+2+5-6 Since f (–1) = 0, (x + 1) is a factor of f (x).

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