SOLUTION: Using a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function. The problem I ha

Question 687593: Using a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function. The problem I have to solve is sin[tan-1x] *Not negative one, the inverse of tan.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using a right triangle to write the expression as an algebraic expression. Assume that x is positive and in the domain of the given inverse trigonometric function. The problem I have to solve is sin[tan-1x] *Not negative one, the inverse of tan.
----
Let theta be tan^-1(x)
---
Since tan(theta) = x/1, x = opp and 1 = base
---
Find hypotenuse: h = sqrt[x^2 + 1^2]
-------
Therefore sin(theta) = opp/hypot = x/sqrt(x^2+1)
===============
Cheers,
Stan H.
RELATED QUESTIONS
Use a right triangle to write the expression as an algebraic expression. Assume that x... (answered by jim_thompson5910)

Could you please help me with the following problem, Use a right triangle to write the... (answered by ikleyn)

1-Find the exact value of this expression. sin^-1(-1/2) 2-Find the exact value of this (answered by stanbon)

Solve each equation using logarithms. If an answer is not exact give the answer to four... (answered by richard1234)

Let x = 6 and y = 6. Write the phrase as an algebraic expression. Assume that no... (answered by ewatrrr)

Write the expression as an algebraic expression in x and y cos(sin^-1x... (answered by lwsshak3)

write an algebraic expression using x as the variable: 5 more than 9 times a number (answered by EdenWolf)

3ln(x)-2ln(y)-4ln(z); write the following in the form log_a(b), where a is a positive... (answered by Fombitz)

how to write out as an algebraic expression? the angles in a triangle, if one angle is (answered by stanbon)