Find the exact value of the expression. sin (30) sin(90°) - cos (30) cos(90°) = Find the exact value of the expression. sin( – 45° ) sin( - 30°) = [ Write each expression as a single trigonometric function. sin(7x)cos(3x) – cos(7:c )sin(32) = Write each expression as a single trigonometric function. cos(6.c )cos(3x) - sin(62) sin(30) = Write each expression as a single trigonometric function. cos(7x)cos (4:0) + sin(78) sin(4x) =
Given that z = 3(cos 90° + i sin 90°), then the following is true. o 23 = et (cos +i sin + i i or simply +
r(t) = 10 sin(300t + 60°) cos(x - 90) sin(x) v(t) 10 cos(300t- 30°) ω = 300, Mag = 10, θ =-30° v 102-30 MLP Mcos(P) +jMsin(P) v = 10 cos(-30) +j10 sin(-30) Step 1: Convert to Cosine Step 2: Identify Frequency, Magnitude, and Phase Step 3: Convert to real/imag form = 8.66-J5 Step 4: Solve Step 5: Convert Back
If csc(I) = 6, for 90° <I< 180°, then Preview sin() = 0 cos(1) Preview tan (3) - Preview
Write the expression as a single function of a. cos (90° - a) Choose the correct function for cos (90° - «). O A. cos a OB. - sin a O c. sin a OD - COS a
Verify the identity 1 - sin 2x cos 2x cOS X - sin X COS X + sin x Choose the sequence of steps below that verifies the identity OB. OC. 1-sin 2x cOS 2x 1-2 sinxcosx OA 1 - sin 2x cos 2x 1 - sin X COS X cos2x - sin 2x (cos2x+ sin 2x) - 2 sin x cos x cos2x - sin 2x (COS X - sin x)(COS X - sin x) (COS X + sin...
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)...
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...
14. (6 points) Use sin(– ) = sin r cos y – cos sin y to evaluate sin ( - 7). BONUS. (8 points) Find all r values in (0,27 that satisfy the following equation. sin cos? Hint: sin?. + cos2 = 1.
(1 point) Simplify each expression. sin(x) + sin(-2) = sin(20) sin(-x) + cos(-2) cos(x) cos(x) + cos(-x) = Note: You can earn partial credit on this problem. Entered Answer Preview