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Earn +20 ptsQ: What are even and odd functions?
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Why is the secant function is an even function and the tangent and cosecant are odd functions?
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also an odd function.
If you add 3 to an even number the sum would be odd or even?
Odd. Even + Even = Even Odd + Odd = Even Odd + Even = Even + Odd = Odd
Does multiplying an odd number by an even number give an even answer?
odd * odd = odd answer even * even = even answer odd * even = even answer
When you add to even numbers is the answer always even?
Yes. Even + Even = Even, Odd + Odd = Even and Even + Odd or Odd + Even = Odd
What is even times even equal?
even times even = even odd times odd = odd even times odd = even
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