# Trigonometric Substitution

posted by .

Trigonometric Substitution
a. Explain why the substitution x = asin(Theta) guarantees that cos(Theta) is greater than or equal to 0 .
b. What sort of restriction must we put on x and a so that the substitution x = asec(Theta)will guarantee that tan(Theta) is greater than or equal to 0?

• Trigonometric Substitution -

x=1/2tan0 write f(X)= x/1+4

## Respond to this Question

 First Name School Subject Your Answer

## Similar Questions

1. ### calculus

Integrate x/(x^2 + 4) dx via trig substitution and by u=x^2+4 substitution. Show that results are equal. Via trig substitution of x=2 *tan t, I get: 1/2 * tan^-1 (x/2) + c Via u = (x^2 + 4) substitution, I get: 1/2 * ln |x^2 + 4| + …
2. ### Trigonometric Functions

Determine the Value of all six trigonometric functions of theta when given?
3. ### Trigonometry

I don't understand how I'm supposed set the problem up or what theta is... Use the given function value(s), and trigonometric identities (including the cofunction identities), to find the indicated trigonometric functions. sec theta …
4. ### math

int 1/ (sq rt (4sec^2 x +4)) dx trigonometric substitution expression: sq rt (x^2-a^2) substitution: x=a sec x identity: sec^2 x -1=tan^2 x
5. ### trig

in proving trigonometric identities if sec theta - tan theta sin theta is equal to cos theta. what is the correct answer?
6. ### Calculus 2

Evalute the integral of x/(x^2+4)dx using u-substitution and then trigonometric substitution. I did this and got (1/2)ln(x^2+4)+C using u-substitution and x^2+4+C using trigonometric substitution. What did I do wrong?
7. ### calculus

Evaluate the following integrals using the given substitutions. (a) (3x^2 + 10x)dx/(x^3 + 5x^2 + 18 , substitution u = x3 + 5x2 + 18; (b)(14x + 4)cos(7x^2 + 4x)dx,substitution u = 7x^2 + 4x.
8. ### Precalculus

Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment …
9. ### Math

(i) Evaluate integral [ x^3 / (x^2 + 4)^2 ] using trigonometric substitution. (ii) Evaluate integral [ x^3 / (x^2 + 4)^2 ] using regular substitution. (iii) Use a right triangle to check that indeed both answers you obtained in parts …
10. ### Question on Integration

(i) Evaluate integral [ x^3 / (x^2 + 4)^2 ] using trigonometric substitution. (ii) Evaluate integral [ x^3 / (x^2 + 4)^2 ] using regular substitution. (iii) Use a right triangle to check that indeed both answers you obtained in parts …

More Similar Questions