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To find side b and side c of a triangle given side a (25) and angle theta (48 degrees), you can use the sine and cosine laws. Side b can be calculated as ( b = a \cdot \frac{\sin(\beta)}{\sin(\theta)} ), where ( \beta ) is the angle opposite side b. To find angle alpha, you can use the fact that the sum of angles in a triangle is 180 degrees. However, without knowing the length of side b or any additional information, we cannot determine the exact values for side b, side c, or angle alpha.
What else can I help you with?
What is cos theta?
The side adjacent to theta divided by the hypotenuse, or the angle opposite of the right angle
What is sin in math terms?
when you have a right triangle and one of the two non-right angles is theta, sin(theta) is the side of the triangle opposite theta (the side not touching theta) divided by the side that does not touch the right angle
A ramp with a one-meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?
To find the acute angle of the ramp, you can use the sine function in trigonometry. The sine of the angle ( \theta ) is equal to the opposite side (height) divided by the hypotenuse (ramp length): ( \sin(\theta) = \frac{0.643}{1} ). Calculating this gives ( \theta = \arcsin(0.643) ), which is approximately 40.0 degrees. Thus, the acute angle of the ramp is about 40 degrees.
What is tangent of theta as a percentage?
The tangent of an angle theta (tan(theta)) cannot be expressed as a percentage since it is a mathematical function that gives the ratio of the opposite side to the adjacent side in a right triangle. It is a dimensionless quantity and is typically expressed as a decimal or a fraction.
When does angle-side-side in geometry work?
When the angle is 90 degrees.
What is cos theta?
The side adjacent to theta divided by the hypotenuse, or the angle opposite of the right angle
What is sine theta?
The sine theta of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.
Why value of sin theata is in between 1 and -1?
2
What does sine theta mean?
Theta is just a Greek letter used to denote measurement of angle. Sine is a trigonometric function, i.e., the ratio of the side opposite to the angle theta to the hypotenuse of the triangle. So Sine theta means the value of sine function for angle theta, where theta is any angle.
Find the missing angles for triangle ABC given that a equals 24 b equals 36 and c equals 19?
Trig. Use law of cosines in degree mode. First find alpha; the angle opposite a a^2 = b^2 + c^2 - 2bc*cos(alpha) 24^2 = 36^2 + 19^2 - 2(36)(19)cos(alpha) 576 = 1657 - 1368cos(alpha) subtract 1657 from both sides( order of operations ) -1088 = -1368cos(alpha) 0.7902046784 = cos(alpha) arccos(0.7902046784) = alpha 38 degrees = alpha ( angle opposite side a ) find beta; angle opposite side b b^2 = a^2 + c^2 - 2ac*cos(beta) 1296 = 937 - 912cos(beta) 359 = -912cos(beta) -0.3936403509 = cos(beta) arcos(-0.3936403509 = beta 113 degrees = beta ( angle opposite of b ) easy thing to get last angle 180 degrees - 38 degrees - 113 degrees = 29 degrees; which is gamma; angle opposite c alpha( angle opposite a side = 38 degrees beta( angle opposite b side ) = 113 degrees gamma(angle opposite c side) = 29 degrees
What is sin in math terms?
when you have a right triangle and one of the two non-right angles is theta, sin(theta) is the side of the triangle opposite theta (the side not touching theta) divided by the side that does not touch the right angle
How do you find the sin-1 on scientific calculator?
Depending on the manfacturer of the calculator, the buttons could be marked Sin^(-1) or ArcSin . In both cases you will need to use the 2nd function/shift. So to find the angle, knowing the side lengths. Sin(Theta) = 3/4 = 0.75 Theta(angle) = Sin^(-1) or Arcsin (0.75 Theta = 48.59..... degrees ~ 48.59 degrees.
What is socahtoa?
SOH CAH TOA is a way of remembering what the functions sin, cos, & tan mean in a right angle triangle. With a triangle with one of the acute angles labelled (theta) the longest side H (Hypotenuse), the side opposite the labelled angle O, and the short side closest to the angle A (Adjacent) SOH ->SIN(Theta)=0/H CAH ->COS(Theta)=A/H TOA ->TAN(Theta)=O/A
What is tangent of theta as a percentage?
The tangent of an angle theta (tan(theta)) cannot be expressed as a percentage since it is a mathematical function that gives the ratio of the opposite side to the adjacent side in a right triangle. It is a dimensionless quantity and is typically expressed as a decimal or a fraction.
How do you find the hypotenuse of a right triangle using sine?
The sine of an angle theta that is part of a right triangle, not the right angle, is the opposite side divided by the hypotenuse. As a result, you could determine the hypotenuse by dividing the opposite side by the sine (theta)...sine (theta) = opposite/hypotenusehypotenuse = opposite/sine (theta)...Except that this won't work when sine (theta) is zero, which it is when theta is a multiple of pi. In this case, of course, the right triangle degrades to a straight line, and the hypotenuse, so to speak, is the same as the adjacent side.
When does angle-side-side in geometry work?
When the angle is 90 degrees.
How do you find the area of a rectangle from diagonal and 1 angle?
The diagonal multiplied by sin(angle) gives one side of the rectangle and the diagonal times cos(theta) gives the other. So the area is (diagonal)2 x cos(theta) x sin(theta).
