Question

I need help.please ​

Answer 1

Answer:

1. cos = adjacent / hypotenuse

tan = opposite / adjacent

sin = opposite / hypotenuse

2. cos = adjacent / hypotenuse

cos(G) = 429/821 = 0.5225 ≈ 0.523

tan = opposite / adjacent

tan(G) = 700/429 = 1.6317 ≈ 1.632

sin = opposite / hypotenuse

sin(G) = 700/821 = 0.8526 ≈ 0.853

3. Part A:

sin(G) = opp / hyp = 420/427 = 0.9836 ≈ 0.984

Part B:

tan(Z) = opp / adj = 77 / 420 = 0.1833 ≈ 0.183

Part C:

cos(Z) = adj / hyp = 420 / 427 = 0.9836 ≈ 0.984

Part D:

sin(M) = opp / hyp = 427 / 427 = 1

Part E:

The sine value of any right angle is 1. The opposite side to the right angle is the hypotenuse.

Explanation:

1. Use "SohCahToa" to remember the equations.

S = o/h         C = a/h       T = o/a

"o" for opposite; "h" for hypotenuse; "a" for adjacent

"S" is sine; "C" is cosine; "T" is tangent.

2. Use the formulas for sin, cos and tan. Substitute the numbers for each side into the equations.

Since the values depend on ∠G, ∠G determines which side is opposite or adjacent. The adjacent side touches ∠G but the opposite side does not. The hypotenuse is the longest side.

3. Use the sin, cos and tan formulas from question 1. Which side is called opposite or adjacent depends on which angle (G, Z or M).