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B. Find the remaining trigonometric ratios of the acute angle , given that sin =

5

7​

B Find The Remaining Trigonometric Ratios Of The Acute Angle Given That Sin 57 class=

Sagot :

Agathabee0920idn

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

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