Given a right triangle with sin(0) = 7 11 determine the value of the other trigonometric...
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)
2. Solve the given trigonometric equation using Pythagorian Identities, cos? 0 + sin? 0 = 1, 1+tan? 0 = sec, cot? 0+1 = csc 0. (a) 1 - 2 sin’x = cos r. (b) 4 sin’t - 5 sin x - 2 cos” x = 2. (c) 2 tang - 2 sec1+1= = tan”.
SWI. U 7. Consider the right triangle AABC with the right angle 2C = 90° and sides c = 10 cm, a = 8 cm, b = 6 cm. If angle LA is opposite to side a, find sin A,cos A, tan A, cot A, sec A, CSC A.
Find the value of the other five trig ratios if sin 0 = - , with in Quadrant IV.Draw a picture of 0. csc 0= cos = sec 0= tan 0= cot 0=
Find the exact value of each of the remaining trigonometric functions of e. tan 0 = - 5a, cos 0<0 sin 0 = 0 (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or cos 0 = 0 (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or sec 0 = (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fi csc 0 = (Simplify your answer....
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...
(10 points) First, determine the quadrant for 2; then find x, y, and r; and finally, give all six trigonometric ratios for a given the following information: csc(0) = 1 and cos(0) < 0 e lives in quadrant • X= • y = 1. sin(O) = 2. cos(0) = 3. tan(O) = 4. sec(0) = 5. csc(0) = 6. cot(0) =
(1 point) (12) 1.0 1 Find the value of the six trigonometric functions of 0, where is the angle formed by the positive x-axis and the line segment from (0,0) to (1.2). sin(0) - cos(0) - tan(0) - sec(0) - csc(0) - cot(0)
Find the exact values of the six trigonometric functions of the angle. 1560° sin 1560º = COS 1560º = tan 1560º = (Simplify your answers. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize any denominators.) CSC 1560º = sec 1560° = cot 1560º = (Simplify your answers. Type exact answers, using radicals as needed. Use integers or fractions for any numbers in the expression. Rationalize any denominators.)