Answer:
a) cos(α+β) ≈ 0.8784
b) sin(β -α) ≈ -0.2724
Step-by-step explanation:
There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.
Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.
For the first problem, we'll do it the first way:
sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524
cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820
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a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)
= 0.926×0.993820 -0.377524×0.111
cos(α+β) ≈ 0.8784
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b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)
= sin(-15.8074°)
sin(β -α) ≈ -0.2724
Answer:
1. 3-4-5 method
2. Rope method
3. Optical square method
Step-by-step explanation:
1. A measuring tape, two ranging poles, pegs and three person's are needed.
First person holds together btw thumbs and finger the zero mark, the second person holds between thumb and finger the 3m mark on the tape and the third person holds the 8m, when all sides of the rope are stretched, a triangle is formed and angle near one is a right angle.
2. One loop of the rope is placed around peg A with a peg through other loop make a circle on the ground place peg B & C where circle crosses the base line and peg D is place half way between peg B & C, allowing peg D & A to form lines perpendicular to base line thereby forming a right angle.
3 this are simple instruments used to set out right angles and they are single and double prismatic square.
Divide it by 25 witch is the height then find the square root
Answer:
unlike terms
Step-by-step explanation:
since the first 9y is squared they cannot be combined since the other isn't squared, they cannot be simplified, nor are they alike
A is true, b is true, but c d aren’t and e is
