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Answer:
Hypotheses followed by a conclusion is called an statement conditional statement. This is read - if then . A conditional statement is false if hypothesis is true and the conclusion is false. ... If we re- arrange conditional statement or change parts of then we have what is called a related conditional .
We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α =

cos β =

We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;