4. Suppose cos A-0.7 where A is an angle in a triangle. Explain why there is...
19 In a right triangle, one angle measures x°, where 4 sin xº = What is cos(90º – xº)? 5 20 If a = 5/2 and 2a = 2x , what is the value of x ?
For the triangle below, you are given the lengths of two sides. 1. (15pts) For the triangle below, you are given the lengths of two sides, a=6 and b = 2. An angle a is shown, but its value is not given a) Use the triangle to find the exact values of the six trig functions at the angle a Sin a= Cos ar Csc a= Tan a= Sec a= Cot a= b) Use a calculator to find the values,...
) 8. Suppose a triangle is constructed where two sides have fixed length a and b, but the third side has variable length x You can imagine there is a pivot point where the sides of fixed length a and b meet, forming an angle of θ. By changing the angle θ, the opposite side will either stretch or contract (a) Let K(x)- Vs(s - a)(s -b)(s - x), where s is the semiperimeter of the triangle. Accord ing to...
Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find the values of the six trigonometric functions for angle B. Rationalize the denominators when applicable. с a=2, c = 4 b The unknown side length bis (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sin B= (Simplify your answer, including any radicals. Use...
Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Use the Pythagorean theorem to find the unknown side length. Then find the values of the six trigonometric functions for angle B. Rationalize the denominators when applicable. a = 3, c = 6 The unknown side length bis (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sinB = (Simplify your answer, including any radicals. Use...
Torsional vibration of a shaft is governed by the wave equation, = 4 where ex, ) is the angular displacement (angle of twist) along the shaft, x is the distance from the endc the shaft and is time. For a shaft of length 4x that is supported by frictionless bearings at each end, the boundary conditions are Ox(O.t) = 0x(4r, f) = 0, 1>0. Suppose that the initial angular displacement and angular velocity are Ox, 0) = 6 cos(x), 0x,...
i need help with these 3 homework problems, thank you ! Solve a Triangle Using the Law of Sincs (SSA) Ambiguous Case Suppose that the measure of angle A and the lengths of sides a and b of a triangle are given. Depending on the length of side a (shown in red) relative to the length of the altitude h, we have four different scenarios No triangle One right triangle One oblique triangle Two triangles: One acute and one obtuse...
1) a) Draw a right triangle that has one angle measuring 30°. Label the sides using lengths 3,2 and 1. b) Identify the adjacent and opposite sides relative to the 30° angle c) Redraw the triangle and identify the adjacent and opposite sides relative to the 60° angle. 2) a) Draw a right triangle that has one angle measuring 45°. Label the sides using the lengths 1,1, and VE b) Identify the adjacent and opposite sides relative to one of...
Note: Triangle may not be drawn to scale. Suppose a- 33 and b- 56 Find an exact value (report answer as a fraction). You will need to determine the length of the missing side first sin(A) - Preview cos(B) Preview tan(A)- Preview cot(B) Preview sec(4) Previeww
Write a program to compute the area of a triangle using side-angle-side method and reports the area of that triangle (rounded to 2 decimal places). Side-angle-side formula: ???? = 1/ 2 ?? sin(?), where a and b are two sides of the triangle, and C is the included angle. Your program must meet the following criteria to receive full marks: • Randomly generate two values between 5 and 10 (inclusive) for two sides a and b of the triangle, respectively....