6. (23 pts.) Given: cos(°/2) = -1/4 and "/2</2<311/4. Form a right triangle with the given...
5. (20 pts.) Given: sin a = 3/5 and sin B = 5/13. Where a is in Quadrant II and B is in Quadrant I. Determine the following and report all numerical answers in exact form. a. (02 pts.) Construct both b. (03 pts.) cos a C. (03 pts.) cos Right Triangles d. (02 pts.) sin(a + b) e. (02 pts.) cos(a + b) f. (02 pts.) tan(a + b) g. (02 pts.) sin(a - b) h. (02 pts.) cos(a...
KEYS TO SOLVING FOR A MISSING SIDE OF A RIGHT TRIANGLE 1. Know one side and one acute angle. 2. Set up the proper trig proportion using the angle and sides. 3. Solve the proportion for the missing side. р Exercise #4: Use the diagram below and trigonometry to find the length of BC to the nearest tenth. Exercise #5: An isosceles triangle has a base of 26 inches and base angles that measure 64º. Determine: (a) the height of...
4). Angles For the given triangle, provide numerical values for sin(0), cos(®), and tan(o). Show (at least) major steps 45
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,...
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...
1.) Given that the perimeter of a triangle is 216. If the angles of the triangle are in the ratio 5:6:7, determine the longest side of the triangle. 2.) 4 times the sine of a certain angle is 6 times of the square of the cosine of the same angle. Find the angle in degrees if it’s in the first quadrant. 3.) Determine k so that the points A(3,8), B(-1,0), and C(k,-2) are the vertices of a right triangle with...
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...
1-17 u ule exact value of the expression 1) cos? 30+ cos? 60 2) cot 45-tan 45 5-6 Use the given information to find the exact value 3) sin? 53 + cos2 53 4) cot 20 -tan 20 5) sin = , where is in quadrant 1. Find tan 6) tan 0 = - , where is in quadrant 4. Find sec 7-12 Verify the identity 7) tan sin cos 0 = sin? 8) tane = sine 9) tancos? +...
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).
Use the given information to find each value. cost = 0<t<A/2 (a) cos 2t (No Response) (b) sin 2 (No Response) (c) cos(1) (No Response) (d) sin() (No Response) 28. - 2 POINTS FDPRECALC5 4.9.005. MY NOTES ASK YOUR TEACHER Let the angles of a triangle be a, b, and y, with opposite sides of length a, b, and c, respectively. Use the Law of Sines to find the remaining sides. (Round your answers to one decimal place.) a =...