Answers:
- sin(G) = 3/5
- cos(G) = 4/5
- tan(G) = 3/4
- csc(G) = 5/3
- sec(G) = 5/4
- cot(G) = 4/3
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Explanation:
For a right triangle, the sine of a reference angle is equal to the opposite over hypotenuse.
sin(angle) = opposite/hypotenuse
cosine involves adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
tangent involves opposite over adjacent
tan(angle) = opposite/hypotenuse
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In short, we have this list so far
- sin(angle) = opposite/hypotenuse
- cos(angle) = adjacent/hypotenuse
- tan(angle) = opposite/hypotenuse
The other three trig functions are reciprocals of these first three. Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.
Meaning, the other three trig ratios are
- csc(angle) = hypotenuse/opposite
- sec(angle) = hypotenuse/adjacent
- cot(angle) = adjacent/opposite
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So,
- sin(G) = opposite/hypotenuse = FH/FG = 24/40 = 3/5
- cos(G) = adjacent/hypotenuse = GH/FG = 32/40 = 4/5
- tan(G) = opposite/adjacent = FH/GH = 24/32 = 3/4
and
- csc(G) = hypotenuse/opposite = FG/FH = 40/24 = 5/3
- sec(G) = hypotenuse/adjacent = FG/GH = 40/32 = 5/4
- cot(G) = adjacent/opposite = GH/FH = 32/24 = 4/3
Answer:
x = 13
∠WZX = 57°
Step-by-step explanation:
Because it is a rectangle, ∠XYZ is 90°
∠XZY + ∠YXZ = 90
(5x - 8) + (x + 20) = 90
simplify:
6x + 12 = 90
subtract 12 from each side
6x = 78
divide both sides by 6
x = 13
∠WZX is complimentary to angle (x + 20)
∠WZX = 90 - (13 + 20) = 57°
Answer: 12+8x
Step-by-step explanation:
1) 4(3+2x)- Distribute the 4
4x3+4x2x t get 12+8x
Answer:
Rational
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The answer would be C.
Step-by-step explanation: