Solve the equation for all degree solutions and if 0° ? ? < 360°. Do not use a c

Question

Solve the equation for all degree solutions and if 0° ? ? < 360°. Do not use a calculator. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

A) sqrt 3 cot ? ? 1 = 0

all degree solutions: ?=____ (let k be any integer)

0° ? ? < 360°  ?=_____

B) 2 sin2? ? 9 sin ? = ?4

all degree solutions ?=_____ (let k be any integer)

0° ? ? < 360°  ?=_____

Solve the following equation for all radian solutions and if 0 ? t < 2?.. Give all answers as exact values in radians. Do not use a calculator. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)

A) 2 sin t + 6 = ?4 sin t

all radian solutions t=_____rad (let k be any integer)

0 ? t < 2?  t=___rad

B) sin x + 2 sin x cos x = 0

all radian solutions x=_____rad (let k be any integer)

0 ? t < 2? x=___rad

Explanation / Answer

1) sqrt 3 cot theta - 1 = 0

sqrt 3 cot theta = 1

cot theta = 1/ sqrt 3

theta = pi/3 + kpi

0 <= theta < 360

theta = 60 , 240

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