Quandaries
and Queries 

Aaron Can you solve the following equation (quote the value of x,y and t to 3 sig figs) ((i have changed figures so that i can work through my own example))


Hi Aaron, Let me do the third problem. First I will write x = cos t to make this problem look like the first two. The equation then becomes
To factor this quadratic you need to consider the divisors of 10 and 4. The divisors of 10 are 1, 5 and 10 and the divisors of 4 are 1, 2 and 4. If you try the possible combinations you will see that
Thus either x =  4/5 or x = 1/2. But x is cos t so either
If cos t = 1/2 and t is in the first quadrant then t is 60 degrees. If t s  4/5 then you can use your calculator to find t. Penny


