3. a. Determine for the angles satisfying .
4. Solve the equation
a. b.
5. Solve for x
a. b.
6. Solve the inequalities
d. e.
i. j.
9. Evaluate the following expressions:
a. cosx. . .tanx
10. Verify the following:
a. =cotx
Find the value of trigonometric expressions (11-15)
11. a) , if
12. a) , if
13. a) , if
14. a) if and then find and
15. a) if and then find and
Simplify the given trigonometric expressions (16-19)
16. a) b)
Verify the given equalities (20-23)
22. a) b)
23. a) b)
Derivative
1. Find the slope of the tangent line of the functions at the given points.
a. y=2x+3, x=4 b. y=x3-5x2+4, x=2
2. Find the equations of the tangent and normal to the given functions at the given points.
a. at x =3 b. at x =-1 c. at x =2
d. at x =-2 e. at x =0 f. at x =3
3. Find the derivatives of the following functions.
a. b. c. d.
4. Find the derivative of the following functions if and .
a. b. c. d.
5. Find the derivatives of the following functions at the given points.
a. b. c. f.
6. Find the derivative of the functions given below.
e. f. g. h.
7. If , then find:
a. b. c. d.
8.
9.
10.
11.
14. Find the derivatives of the following functions.
a. b. c.