Magic Square -- Trig Identities

Solve each of the problems and then find the letter which matches the answer from the choices listed below. All angles are measured in degrees.

Write the number of the problem corresponding to the letter in each box of the magic square. For example, if the answer to problem #1 were V, locate box V and place a 1 in it.

When you are finished, you should have a Magic Square. Check to see that your answers are correct by finding the sum of each row, the sum of each diagonal, and the sum of each column. They should all equal the same number.
What is the Magic Sum? ___________________

V            
   
    		A            
   
    		H            
   
    		Q            
   
   
F            
   
    		L            
   
    		J            
   
    		N            
   
   
K            
   
    		M            
   
    		D            
   
    		I            
   
   
G            
   
    		T            
   
    		R            
   
    		B            
   
   

Questions

  1. Which values of u are not permissable in the expression       csc(u) tan(u) ?

  2. Which values of u are not permissable in the expression       sin(u) cot(u) ?

  3. Simplify     sin(90 - u)

  5. Simplify     cos(6u) cos(2u) - sin(6u) sin(2u)

  6. Simplify     cos(u) + sin(u) tan(u)

  9. Simplify     cos(u) tan(u)

  10. Simplify     (1 - sin(u)) (1+ sin(u))

  11. Simplify     sin4(u) + cos2(u) sin2(u)

Answers:

A. 180k B. 90k C. 90 + 180k
D. sec(u) E. cos(4u) F. cos(8u)
G. 1 - cos(u) H. cos(u) I. csc2u
J. cos2u K. sin(u) L. sin2u
M. - tan(u) N. tan2u O. sec2u
T. 1 U. 2
W. 3 X. 0