In mathematics there is a rule of exponents where we can "distribute" the powers/exponents in the numerator and denominator of any expression. Therefore, given an expression as , the exponent n can be "distributed" as:
.
In our case, the power, n=11; a=7 and b=4. Thus, the expression , can be written as
.
Thus, out of the given options, option A is the correct option.
Answer:
The ratio for sin(X) is
The ratio for cos(X) is
Step-by-step explanation:
- The ratio of the sine of a right triangle is:
Since we need the ratio for angle X, . From the picture we can infer that the opposite side of X is
. The hypotenuse (the side opposite to the right angle) is 12, so replacing the values:
- The ratio of the cosine is:
Similarly, , adjacent side = 5, and hypotenuse = 12, so
