SOLUTION: Show that each of the following statements is true by transforming the left side of each one into the right side. 1. sec/tan = csc 2. cos sec tan = 1 3. (1-cos)(1+cos) = s

Question 284204: Show that each of the following statements is true by transforming the left side of each one into the right side.
1. sec/tan = csc
2. cos sec tan = 1
3. (1-cos)(1+cos) = sin^2
4. sec - cos = sin^2/cos
5. 1-cos/sec = sin^2
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
BIG TIP: POST ONE QUESTION AT A TIME OR ELSE NO ONE WILL REPLY.
1. sec/tan = csc
When playing with trig identities, convert everything to sine and cosine.
sec = 1/cos
tan = sin/cos
1/cos divided by sin/cos....This is a trig complex fraction, which must be reduced using the rules of elementary school fractions.
Multiply the top and bottom by the LCD.
Our LCD is cos.
(1/cos)(cos) divided by (sin/cos)(cos) = csc
1/sin = csc
csc = csc
Done!
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