Answer:
Sin = 5/7
Cos = 4.9/7
tan = 5/4.9
csc= 7/5
sec = 7/4.9
cot= 4.9/5
Step-by-step explanation:
Given:
Sin = 5/7
opposite side = 5
hypotenuse = 7
Step 1: Find the length of the adjacent side using Pythagorean theorem
c² = a² + b²
7² = 5² + b²
49 = 25 + b²
49-25 = b²
√24 = √b²
b = 4.90
Step 2: Now that we know the length of the adjacent side, find the trigonometric functions by using the values. Remember SOHCAHTOA
Sine = opposite side / hypotenuse
Cosine = adjacent side / hypotenuse
Tangent = Opposite side / adjacent side
Sin = 5/7
Cos = 4.9/7
tan = 5/4.9
Cosecant = hypotenuse / opposite side
Secant = hypotenuse / adjacent side
Cotangent = adjacent side / opposite side
csc= 7/5
sec = 7/4.9
cot= 4.9/5
