2015-08-13
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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. 
