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:
the value for x is
and the value for y is 11 on the triangle problem we use sin60 to find x and we use tan60 to find y
Answer:
1. No
2. No
3. Yes
4. Yes
Step-by-step explanation:
The diagram has been attached
The total angle in a triangle is 180°
<CAD=45°
<ACD=90°
Therefore <ADB=45°
1. ∠ADB = 30° no
ADC = 90 - 45 = 45
∠BDC = 90 - 65 = 25
∠ADB = 45 - 25 = 20
2.△ABD ∼ △ACD no going
by law of sines
3.CD = 33.7 centimeters => yes
4.BD = 37.2 centimeters => yes
Answer:
The multiplication sentence is 4/9*3/8=1/6
then for the rectangular fraction model draw two rectangles and in the first one draw 9 boxes and shade in 4. Then, in the second one draw 8 boxes and shade 3.
Step-by-step explanation:
This is an example:
Answer: Comparison Postulate
This is the idea that exactly one statement shown below is true
a > b
a = b
a < b
So if you compare two numbers, then either the left value is larger, the left is smaller, or the the left is the same as the value on the right.
