Given that z = 3(cos 90° + i sin 90°), then the following is true. o...
If csc(I) = 6, for 90° <I< 180°, then Preview sin() = 0 cos(1) Preview tan (3) - Preview
Sin 90+ Cos 90=
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) =
Question 5 Write the complex number in rectangular form. -3(cos 225° +i sin 225°) Question 6 Write the complex number in polar form. Express the argument in degrees. 3cos Oº+isin 0°) 3[cos 180°+ i sin 1809) 3[cos 90° + i sin 90°) O 3(cos 270° Fisin 270°F
(1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=| (1 point) Fill in the blanks: 1. If tan r 3.5 then tan(-z) - I 2. If sin a 0.7 then sin(=x) = 3. If cos r 0.2 then cos(-r)=| 4. If tan r 1.5 then tan(T+ x)=|
3. 8p] Show that the force field F(x,y, z) sin y, x cos y + cos z, -y sin z) is conservative and use this fact to evaluate the work done by F in moving a particle with unit mass along the curve C with parametrization r(t (sin t, t, 2t), 0 <t<T/2. 4. 8p] A thin wire has the shape of a helix x = sin t, 0 < t < 27r. If the t, y = cos t,...
SIII 4. Evaluate 3 (cos 30°)2 +2 (sin 60°)2 without using a calculator. 12. Given that sin 0 =-. Show that sin (90° — O)=cos .
3. If T2 = r3 cos(0) sin(d) and v2 = sin(0) cos(O)f + r sin(0)θ + r2 sin(d)φ compute the following (a) ▽T, (b) ▽.
3. Given: A and B are positive acute angles, where sin A = { and cos B = 3 Find the exact value of sin(A+B). 4. Given: angles A and B are in Quadrant I, where 5 tan 4= - and sin B=- V74 Find the exact value of tan(A+B). 5. Given: A lies in Quadrant III and B lies in Quadrant II, sin A=-.- and cos B= Find the exact value of cos(A-B). 17
sin (z) cos3 (z) dz. y° cos (3y) dy. sin (z) cos3 (z) dz. y° cos (3y) dy.