Answer:
its also again 40
Step-by-step explanation:
its L angle
Answer:
what is the figure so i can awnser iit
Step-by-step explanation:
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Answer:
22) y=1/4x-3/4
23) y=-1/3x-9
Step-by-step explanation:
22 ) Using the rise/run strategy, we can find the slope. From (-1,-1) you go up 1 unit to reach the same level as (3,0), and go right 4 to reach (3,0). This means your rise/run is 1/4, which is also your slope. Now to find the y-intercept, we can use the equation format y=mx+b. m is your slope, which we have, and b is the y intercept. With y and x, we can substitute in a point we already know, for example (-1,-1) as (x,y). When everything we know is substituted in, we get -1=(1/4)(-1)+b. According to PEMDAS, we should now multiply 1/4 and -1 to get (-1/4). Now our equation is -1=-1/4+b. To isolate B, we need to add 1/4 on both sides. As a result, you'll get -3/4. Your y intercept is -3/4. Thus, the final equation is y=1/4x-3/4.
23) This question is a lot more straight forward than question 22. In this question, you're already given everything in the equation to substitute everything in. Like I said before, the format for a linear equation is y=mx+b where m is your slope and b is your y intercept. This question already gives you both the slope and y intercept, so you can just fill it in. (m = -1/3, b= -9) Thus, you'll get y=-1/3x-9.
The above statement is true meaning cos(π/₂-x)=sin(x)
Step-by-step explanation:
We know that sine and cosine function are mutual cofunctions.
Hence this would mean that these two functions are complimentary of each other meaning cos(π/₂-x) = sin(x)
This can be verified mathematically by assuming “x” as 30°
Hence Cos (π/₂-30°) = cos 60°= 0.5 (from trigonometric table values)
Similarly Sin 30°= 0.5 (from trigonometric table values)
This can be proved through using the formula
Cos(A-B)= Cos A.Cos B + Sin A.Sin B
Here A=90° and b=x°
Putting the values we get (it is to be remembered that cos 90°=0 and sin 90°=1)
Cos 90°.cos x+ sin 90.sin x
0+sinx= sinx
Hence it is proved that cos(π/₂-x)=sin(x)
