6. You need to check the three points you have marked out on...

6. You need to check the three points you have marked out on a piece of sheet metal are in the correct place before drilling. Use the correct formula to calculate the unknown value (f) of this right- angle triangle in degrees. ? Note: Remember to enter the decimal point. Keep your answers to two decimal places. You can use a calculator for this. 350 mm 280 mm Angle Formulae (some formulae will need to be transposed) Sine (sin) = opposite / hypotenuse Arcsin (sin?¹) = 1 / sine Cosine (cos) = adjacent / hypotenuse Arccos (cos?¹) = 1 / cosine Tangent (tan) = opposite / adjacent Arctan (tan?¹) = 1 / tangent Sine = opposite / hypotenuse f=mm degrees

Transcript

00:01 In this first problem, you're being asked to solve the given trick equations and turns of degrees.

00:04 Well, the first thing i'm going to do is set it equal to zero by subtracting the sine of theta from both sides of our equation.

00:11 So that means we'll be left with the sign of theta times the tangent of theta minus the sign of theta equals zero.

00:19 Well, now we can factor our sign of theta out like a jada's common factor.

00:23 So if the sign of theta, and when we divide both turns by the sine of theta, that will leave us with the tangent of theta.

00:30 Theta minus 1.

00:32 Well, now that our equation is solved, it's factor, now we can go ahead and set each factor equal to 0.

00:38 So we'll have the sine of theta equal to 0, and the tangent of theta minus 1 could equal to 0.

00:45 Well, sign is 0.

00:46 Well, remember, sine is our y coordinate, so this happens at both 0 and 180 degrees.

00:52 So that would be two of our answers.

00:54 Now, to solve the second equation, we'll add one to both sides.

00:57 So we'll have the tangent of theta is equal to 1.

01:00 Well, tangent of theta is equal to 1.

01:03 That happens at 45 degrees.

01:05 But remember, tangent is also positive in the third quadrant.

01:09 So in the third quadrant, if our reference angle is 45, that means we would have a 225, oops, that's way too many twos.

01:15 We would have a 225 degree angle.

01:18 So perfect.

01:19 Now we have all four of our answers.

01:21 It be 0, 45, 180, and 225.

01:24 So if you're looking at at your answer choices as that first one, which i'll call a.

01:29 Okay, so now let's scroll down and let's take a look at your second problem.

01:33 So you were given this triangle, and i'm going to try and draw it in here, as best as i can...

Question

Please give Ace some feedback