Question

solve for [0,2pi] the following:

cos x equals 1

sin x equals -1

cos x equals -1

solve these with step by step solutions but solve each of them separately.

Answer 1

Cos x =1 in [0,2pi]

Is at 0 degree

Sin x =-1 is at 135 deree

Cos x=-1 at 180 degree

Answer 2

your answer........

given

$\bold \purple{ \cos( \alpha ) = 1} \\ \\ \cos( \alpha ) = \cos(0) \\ \\ \green{therefore} \\ \alpha = \cos( { }^{ - 1} \cos( 0) ) \\ \\ so \: \: \: \bold \red{{ \alpha = 0}} \: \: \: \: ans \\ \\ \\ \cos( \beta ) = - 1 \\ \\ \green{therefore} \\ \cos( \beta ) = \cos(180) \\ \\ so \: \: \: \bold\red{ \beta = \cos( {}^{ - 1} \cos(180) ) } \\ \\ now \: \beta = 180 \: ans \\ \\ \\ finally \\ \\ \sin( \gamma ) = - 1 \\ \\ \green{\sin( \gamma ) = \sin(270) } \\ \\ therefore \\ \\ \gamma = \sin( {}^{ - 1} \sin(270) ) \\ \\ \bold \red{ \gamma = 270} \: ans \\ \\ \\ \:$

TILL THEN BE HAPPY......