| sin(0) Use the identity matrix to find the inverse of A = l-cos(0) cos(0) sin(0)
Determine whether the given matrix is orthogonal. If it is, find its inverse. cos sin cos sin A = [ cose sin e sin e 0 cos e - cos ]
establish the identity
Establish the identity. cos 0 sin = sin 0 - cos 0 - 1- tan 0 - 1- coto Write the left side in terms of sine and cosine. cos 0 sin o -1- Write each term from the previous step as one fraction. cos?o sin 0 - cos 0 (List the terms in the same order as they appear in the original list.) Add the fractions from the previous step. (Do not simplify.) cos 0 -...
Use an appropriate identity to solve the given equation. 1 (a) sin(0) cos (35°) + cos(0) sin (35°) = 2 (b) cos(2x) cos(x) + sin(2x) sin(x) = -1
Using the identity sin? 0 + cos² 0 = 1, find the value of tan 6, to the nearest hundredth, if sin 0 = -0.62 and 3 < 0 < 27.
Establish the identity 1 - cos 0 sin 0 + sin 0 1 - cos 0 = 2 csc 0. Which of the following shows the key steps in establishing the identity? 1 - cos e sin 0 ОА. + sin e 1 cos e 1 - cos e B + sin e 1 - cos 0 sin e (1 - cos 0)2 + sine 2 = 2 csc 6 sin 0(1 - cos ) cOS (1 - cos 02...
Use a trigonometric identity to find exactly all solutions: cos 20 = sin , 0<o<21. Enter the exact answers in increasing order. O= Edit 6 31 Edit 2 II 5a 6 Edit
Establish the identity. 1 - sin 0 cos e + COS 0 1 - sin e = 2 sec Write the left side of the expression with a common denominator. Do not expand the numerator. cos (1 - sin o) Expand and simplify the numerator by rewriting without any parentheses. + cos20 cos (1 - sin o) Apply an appropriate Pythagorean Identity to simplify the numerator of the expression from the previous step. cos (1 - sin o) (Do not...
ecos (20) cos e Establish the identity cos + cos (30) sin 0+ sin (30) cot (20) Choose the correct sequence of steps to establish the identity cos 0 + cos (30) 2 cos (20) cos (20) OA sin 0+ sin (30) cot (20) 2 cos (20) sin (20) B. cos 0 + cos (30) sin 0 + sin (30) = 2 sin (20) cos e = cot (20) Ос. = cos 0 + cos (30) 2 sin cos (20)...
QUESTION 12 Use a double-angle or half-angle identity to find the exact value of: cos(0) = and 270° <=< 360°, find sin 5 OAV10 10 B. 10 C. None of these OD 10 3 17 OE 4 QUESTION 13 Use a double-angle or half-angle identity to find the exact value of: 3 sin(0)= and 0° <o<90° , find tan 5 - šar 10 OA. 3 B.V10 Octs OD. -V10 E V30 QUESTION 11 Use a double-angle or half-angle identity to...
Verify the identity. (3 cos 0-6 sin 0)2 + (6 cos 0+3 sin 0)2 = 45 Choose the sequence of steps below that verifies the identity. O A. (3 cos 0-6 sin 0)2 + (6 cos 0 + 3 sin 0)2 = 9 cos - 36 sin 20 + 36 cos 20+9 sin ?e =9 (cos?0+ sin 20) +36 (cos 20+ sin ?e) = 9+ 36 = 45 O B. (3 cos 0 - 6 sin 0)2 + (6 cos...