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Sinx=-1 Find all solutions to the problem. This is precalculus-trigonometry.

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X = ... =5pi/2, -1pi/2, 3pi/2, 7pi/2, 11pi/2, 15pi/2, ...

Posted on Apr 19, 2014

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Consider this graph, of sin(x)

http://www.analyzemath.com/trigonometry/graph_sine.gif

You can see that where sin(x) = -1, x = 3/2 Pi (270 degrees). So that is the first of many solutions, which recur every 2 Pi (or 360 degrees) plus or minus from the first solution.

Posted on Apr 19, 2014

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SOURCE: use the identity tan(x/2)=sinx/1+cosx to solve for the value of tan45 degrees

tan(x/2)=sin(x)/(1+cos(x))
Setting x/2=45, means that x=90 (degrees)
But cos(90)=0 and sin(90)=1. Thus tan(45)=1/(1+0)=1.

Posted on Mar 14, 2013

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