SOLUTION: Evaluate the expression.
sin(90-theta)*tan(theta)*sec(theta)
a)sin(theta)
b)cos(theta)
c)tan(theta)
d)cot(theta)
(Homeschooling mother. Any help is appreciated. Thank y
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Question 1103427: Evaluate the expression.
sin(90-theta)*tan(theta)*sec(theta)
a)sin(theta)
b)cos(theta)
c)tan(theta)
d)cot(theta)
(Homeschooling mother. Any help is appreciated. Thank you)
Answer by greenestamps(13203) (Show Source): You can put this solution on YOUR website!
You can see this if you think of a right triangle. In a right triangle, the acute angles are x and 90-x; by the basic definition of the functions in a right triangle, the sine of one acute angle is the cosine of the other, and vice versa. So sin(90-x) = cos(x) and cos(90-x) = sinx.
Then, by definition, and
So
Answer c.
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