Question

Given any right triangle with an acute angle theta, a) Explain why csc theta is always greater than or equal to 1
b) Explain why cos theta is always less than or equal to 1

Answer 1

start with b)

since cos Ø = adjacent/hypotenuse
and the hypotenuse in any right-angled triangle is of course greater than either of the other sides, the ratio of adjacent/hypotenuse must be a proper fraction, that is, it must be less than 1

a) since the secant is the reciprocal of the cosine, and the cosine is always less than 1, then the secant must always be greater than one.

(if you "flip" a proper fraction, it becomes an improper fraction)

Answer 2

find the percent roung your answer to the nearest whole percent when necessary

$6 tip for a $40 dinner