Can someone explain how to work the following problem? I have the question and the answer but don’t know how the answer was arrived at. Question: Simplify the expression f(x) = tan (sin^−1 x) [read aloud it’s ‘tan of sin to the -1 of x] by writing it in algebraic form Answer: By definition f(x) = tan (theta) where x = sin (theta) But then by Pythagoras, tan (theta) =x/[sqrt(1-x^2)] [read aloud it’s ‘x over square root of (1-x squared)’
Can someone explain how to work the following problem? I have the
question and the answer but don’t know how the answer was arrived at.
Question: Simplify the expression
f(x) = tan (sin^−1 x) [read aloud it’s ‘tan of sin to the -1 of x]
by writing it in algebraic form
Answer:
By definition f(x) = tan (theta) where x = sin (theta)
But then by Pythagoras,
tan (theta) =x/[sqrt(1-x^2)] [read aloud it’s ‘x over square root of (1-x squared)’
Looking for a Similar Assignment? Order now and Get 10% Discount! Use Coupon Code “Newclient”
The post Can someone explain how to work the following problem? I have the question and the answer but don’t know how the answer was arrived at. Question: Simplify the expression f(x) = tan (sin^−1 x) [read aloud it’s ‘tan of sin to the -1 of x] by writing it in algebraic form Answer: By definition f(x) = tan (theta) where x = sin (theta) But then by Pythagoras, tan (theta) =x/[sqrt(1-x^2)] [read aloud it’s ‘x over square root of (1-x squared)’ appeared first on Superb Professors.
For any questions, feedback, or comments, we have an ethical customer support team that is always waiting on the line for your inquiries.