12 8 points Find sin a and cos A tan and cot f and sec a an
12. (8 points) Find sin (a) and cos (A), tan () and cot (f), and sec (a) and csc (B).
Solution
sin alpha=opposite/hypotenuse= 1/(sqrt(1+9))=1/sqrt10
cos beta=adjacent/hypotenuse=1/sqrt10
tan alpha=opposite/adjacent=1/3
cot beta=adjacent/htpotenuse=1/3
sec alpha=hypotenuse/adjacent=sqrt(10)/3
csc beta=hypotenuse/opposite=sqrt10
