Question 1189670

Solve the following equations for {{{x}}} between {{{0}}}° and {{{360}}}°

a) 

{{{csc (x) = -2}}}

{{{x = csc^-1(-2)}}}

{{{x=-pi/6}}} -> in Q IV


solutions for {{{x}}} between{{{ 0}}}° and {{{360}}}°


{{{x = (7pi)/6}}}

{{{x = (11pi)/6}}}

{{{x=210}}}°

{{{x=330}}}°



b)

 {{{sec (x) = 5sin(20)}}}

 {{{sec (x) = 1.71}}}

{{{x=sec^-1(1.71)}}}

{{{x=0.9461}}}...radians ( angle -> in Q I)


solutions for {{{x}}} between {{{0}}}° and {{{360}}}°:

in radians

{{{x=0.94621}}}

{{{x=2pi-0.94621=5.336975}}}

in degrees

{{{x=54.21}}}°

{{{x=305.79}}}°  


c)
 
{{{cot^2(x) = 3}}}

{{{cot(x) = sqrt(3)}}}

{{{x=cot^-1( sqrt(3))}}}

{{{x=pi/6}}}


solutions for {{{x }}}between {{{0}}}° and {{{360}}}°

in radians

{{{x=pi/6}}}

{{{x=5pi/6}}}

{{{x=7pi/6}}}

{{{x=11pi/6}}}


in degrees

{{{x=30}}}° 
 
{{{x=150}}}°  

{{{x=210}}}°  

{{{x=330}}}°