Evaluate cos 76° – sin 14°

In each of the following, fill in the blanks so as to make the statement true:

(i)  A number which can be expressed in the form p/q, where p and q are integers and q is not equal to zero, is called a ………..

(ii)  If the integers p and q have no common divisor other than 1 and q is positive, then the rational number (p/q) is said to be in the ….

(iii) Two rational numbers are said to be equal, if they have the same …. form

(iv) If m is a common divisor of a and b, then (a/b) = (a ÷ m)/…..

(v)  If p and q are positive Integers, then p/q is a ….. rational number and (p/-q) is a …… rational number.

(vi) The standard form of -1 is …

(vii)  If (p/q) is a rational number, then q cannot be ….

(viii)  Two rational numbers with different numerators are equal, if their numerators are in the same …. as their denominators.