Answer:
The Pythagorean identity states that
Using that we can rewrite the left denominator as:
Which can be factored as
The numerator we can expand as:
On the right hand side, let's multply numerator and denominator with (1 - sin t):
The total formula then becomes:
There you go... left and right are equal.
Answer:
1.To calculate the discount, multiply the rate by the original price.
2.To calculate the sale price, subtract the discount from original price.
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Answer:
.
Step-by-step explanation:
Start by finding the slope of this line.
If a slanting line goes through 
and 
, where 
, the slope of this line would be:
.
The line in this question goes through 
and 
. Hence, the slope of this line would be:
.
If a slanting line with a slope of 
and goes through the point , the equation of this line in the point-slope form would be:
.
For the line in this question, the slope is 
. Take as the chosen point on this line. The point-slope form equation of this line would be:
.
Rewrite to obtain the equation of this line in the slope-intercept form:
.
Probability =
(number of possible ways to succeed)
divided by
(total number of possible outcomes) .
Number of ways to succeed = 2 (pick the 'A' or the 'L')
Total number of possible outcomes = 5 (the cards on the table) .
Probability of success = 2/5 = 40% .
