Answer:
See proof below
Step-by-step explanation:
In trigonometry identity
tan^2 theta = sin^2 theta /cos^2 theta
cot^2 theta = cos^2 theta/sin^2 theta
csc^2 theta = 1/sin^2 theta
Substitute into the expression
(sin^2 theta /cos^2 theta )+ (cos^2 theta/sin^2 theta)/1/sin^2 theta
= [sin^4theta + cos^4theta/cos^2 theta sin^2 theta]÷(1/sin^2 theta)
= 1/cos^2 theta sin^2 theta÷(1/sin^2 theta)
= 1/cos^2 theta sin^2 theta * sin^2 theta/1
= 1/cos^2theta
= sec^2theta (Proved!)
Answer: 16/12 = 1 4/12 or 1 2/6
Step-by-step explanation:
convert all the denominators in 12 (common denom.)
11/12 - 2/12 + 10/12 - 4/12
9/12 + 10/12= 19/12 -4/12= 16/12
Answer: 5 pieces
Step-by-step explanation:
It will take the orchestra 12 minutes to play one piece, and since there are 60 minutes in one hour, we have the following equation:
60/12= 5 pieces in one hour.
Answer:
Step-by-step explanation:
1) Factor using polynomial division.
2) Rewrite in the form , where a = x and b = 5.
3) Use Square of Sum: .
Answer:
(b) 4x² and 3xy
Step-by-step explanation:
The terms of an expression 4x² – 3xy are:
The terms are the factors of the expression, which are 4x² and -3xy. The signal is not counted as a term. So the correct answer is given by option b.