SWI. U 7. Consider the right triangle AABC with the right angle 2C = 90° and...
3 12 Smaller Triangle Larger Triangle sin = sin = cos = cos = tan 0= tan (= CSC = CSC = sec = sec = cot 8 = cot = Explain why the function values are the same. The triangles are similar so corresponding sides are proportional. The triangles are congruent so the trigonometric function values must be the same.
Find the exact values of the six trigonometric ratios of the angle θ in the triangle. sin(θ)cos(θ)tan(θ)csc(θ)sec(θ)cot(θ)
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,...
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...
Two sides of aright triangle ABC (C is the right angle) are given. Find the ind icated trigonometric function of the given angle. Give exact answers with rational denominators. 1 Find cos A when a -7 andb 2 A) 53 53 C) 1 53 D 2153 2) Find csc B when a-4 and b-5 2) A) 4 5-41 Solve the problem 3) Find tan P 20 A) tan P- B) tan P- C) tan P.4 D) tan P. 4 Find...
Given a right triangle with sin(0) = 7 11 determine the value of the other trigonometric ratios of e. 1 1. cos(O) = 6 sqrt(2/11 2. tan(O) = 7 sqrt(27/12 3. sec(0) = 6 sqrt(27/7 4. csc(0) = 11 sqrt(2/12 5. cot(0) = 11/7 Use exact notation, no decimal approximations. If you need to write a number such as V3. type out sqrt(3).
1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta).3. Let (theta) be an angle in quadrant II such that csc(theta)=7/4. Find the exact values of tan(theta) and cos(theta).4. Use a cofunction to write an expression equal to csc(3pi/8).Thank You <3
Assuming u is positive, use a right triangle to find an algebraic formula for the following expressions: a) csc (cos^-1(1/u)) b) sin (tan^-1(u))
The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle. (8, 15) sin - cos e tan o csc - sec - cot -
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...