Math  /  Trigonometry

QuestionIn a right triangle, if a=2a=2 (opposite angle AA) and b=7b=7 (hypotenuse), find sin(A)\sin(A), cos(A)\cos(A), tan(A)\tan(A), sec(A)\sec(A), csc(A)\csc(A), cot(A)\cot(A).

Studdy Solution
implify cot(A)\cot(A) by dividing the numerator and denominator by 55.
cot(A)=354\cot(A) = \frac{3\sqrt{5}}{4}The exact values of the trigonometric functions of angle AA aresin(A)=7\sin (A)=\frac{}{7} cos(A)=357\cos (A)=\frac{3\sqrt{5}}{7} tan(A)=515\tan (A)=\frac{\sqrt{5}}{15} sec(A)=7515\sec (A)=\frac{7\sqrt{5}}{15} csc(A)=7\csc (A)=\frac{7}{} cot(A)=354\cot (A)=\frac{3\sqrt{5}}{4}

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