3.3 Homework - Trigonometric Functions (Homework)

ASK YOUR TEACHER PRACTICE ANOTHER 6. [-/1 Points] DETAILS SCALCET9 3.3.015.MI. MY NOTES Differentiate. 8x Y= J 7 - tan(x) y' Need Help? Read It Watch It Master It MY NOTES ASK YOUR TEACHER 7. [-/1 Points] DETAILS SCALCET9 3.3.023. Show that -(csc(x)) = -csc(x) cot(x). (csc(x)) = d dx dx )(0) - 1 sin (x) sin-(x) 1 sin(x) sin(x) = -csc(x) cot(x) Need Help? Read It Watch It8. [-/1 Points] DETAILS SCALCET9 3.3.031.EP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A graphing calculator is recommended. Let y = 6x sin(x). (a) Find y'(x). y' ( x ) = Find an equation of the tangent line to the curve y at the point ( , 37 ) (b) Illustrate part (a) by graphing the curve y and the tangent line on the same screen. y . 2 4 7- al 2 7 2 7 O 7/2 71/2 IT/2 AO T/2 Need Help? Read It9. [-/1 Points] DETAILS SCALCET9 3.3.036. MY NOTES ASK YOUR TEACHER If f(t) = sec(t), find f"( ) Need Help? Read It 10. [-/1 Points] DETAILS SCALCET9 3.3.043.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A ladder 20 ft long rests against a vertical wall. Let 0 be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast (in ft/rad) does x change with respect to 0 when 0 = !? ft/rad Need Help? Read It Watch It Master It