To determine an angle in a geometrical figure
5. For the figure shown at the right, find the measure of the angle labeled C....
5. Given the following value of a trig function for angle in Quadrant II: sec(0)=-V2 a) Find the measure of the reference angle or related to angle in degrees. b) State the measure of angle Oin Quadrant II. c) Find the values of the 5 remaining trig functions for the angle of parts a) and b): [Hint: First draw a rough sketch of the reference triangle in Quadrant Il labeled with reference angle Brand appropriate values of all sides.
Consider the angle shown below that has a measure of radians. Suppose that sin(0) = 0.863. - - - - - - - - - a. What is the value of cos(0)? cos(O) = .5878086423 Preview * Try again. Recall that the Pythagorean Identity states that (cos(0)² + (sin(0))2 = 1 and you know the value of sin(O). Pay attention to the sign of your answer. The terminal point is to the left of the circle's center. What does that...
4. a. Can you simplify the sum of the two leading terms to remove the angle parts: 22 cos? (0) arz + sin() arz =? Hint: it's really easy-what is the simplest trig identity you know? (5 pts) b. Now let's deal with these two "middle" terms. We can show that if you add them together then: How? Let's start by acting Y(r).() on the first term above: - (inco)cosapopt(cos(m)opsin cm) - k - (sin(e) cos() 0400:46 = - (sinca..cos(m)cm)...
Sketch an angle o in standard position such that has the least positive measure, and the given point is on the terminal side of 0. Then find the values of the six trigonometric functions for the angle. Rationalize denominators when applicable. (-21,-2) A. 2 sin 0 = 5 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) B. The function is undefined. Select the correct choice below and, if necessary, fill in the...
Let R be the region shown above bounded by the curve C = C1[C2. C1 is a semicircle with center at the origin O and radius 9 5 . C2 is part of an ellipse with center at (4; 0), horizontal semi-axis a = 5 and vertical semi-axis b = 3. Thanks a lot for your help:) 1. Let R be the region shown above bounded by the curve C - C1 UC2. C1 is a semicircle with centre at...
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...
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. Let ABCDE be a regular pentagon on the unit sphere S with each side equal to s and each angle equal to 4pi/5. Find the exact value of cos a. Noticed that as in Euclidean geometry a regular pentagon called a spear can be inscribed in a spherical circle The only ideas that can be used include: area ABC-RA2(A+B+C-Ipi), the Pythagorean theorem: Cos c-cos a cos b. Vectors-dot product cross product, sin A-sin a/sin c; coS A-COs a sin...
Question 1 (2+2+5 marks] (a) Find the angle between the vectors y =(4,0,3), v = (0,2,0). (b) Consider the subspace V (a plane) spanned by the vectors y, V. Find an orthonormal basis for the plane. (Hint: you may not need to use the full Gram-Schmidt process.) (c) Find the projection of the vector w=(1,2,3) onto the subspace Vin (b). Hence find w as a sum of two vectors wi+w, where w, is in V and w, is perpendicular to...
If ?ABC has angle measures m?A=(3x)°, m?B=(x+5)°, and m?C=(x?15)°, then ?__________ has the largest angle measure, which is __________°. Enter the uppercase letter and number that correctly fill in the blanks from left to right, separated by a comma, like this: N, 42