SOLUTION: Evaluate the expression. tan(90-theta)*tan(theta)*sec(theta) a)1 b)0 c)sec(theta) d)cot(theta) (Homeschooling mother. Any help appreciated. Thank you)

SOLUTION: Evaluate the expression. tan(90-theta)tan(theta)sec(theta) a)1 b)0 c)sec(theta) d)cot(theta) (Homeschooling mother. Any help appreciated. Thank you)

Question 1103429: Evaluate the expression.
tan(90-theta)*tan(theta)*sec(theta)
a)1
b)0
c)sec(theta)
d)cot(theta)
(Homeschooling mother. Any help appreciated. Thank you)
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
For acute angles (less than 90 degrees),
you could think of trigonometric functions as trigonometric ratios.
If you draw a right triangle with as one of the angles,
the measure of the other acute angle will be .

= (opposite side) / (adjacent side)
.
So,

It works for acute angle from a right triangle,
and it also works for any angle ,
so , and

NOTE: I did not homeschool my children,
I was not brave enough for that,
but I coached my youngest through an online charter school.
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