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www.mathsathawthorn.pbwiki.com. SOLVING TRIG EQUATIONS. Multiple Angles WJEC C2 January 2008. First step is to adjust the interval to be consistent with the Angle (3x+15). Next step is to find the INVERSE SIN of 0.5. This is sometimes called ARCSIN And is written.
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www.mathsathawthorn.pbwiki.com SOLVING TRIG EQUATIONS Multiple Angles WJEC C2 January 2008
First step is to adjust the interval to be consistent with the Angle (3x+15) Next step is to find the INVERSE SIN of 0.5. This is sometimes called ARCSIN And is written Note that this is not a solution But is the PRINCIPAL VALUE of 3x+15. The PRINCIPAL VALUE is the Angle which is in the FIRST QUADRANT That means the Angle which is between 0 and 90 degrees.
90 S A 180 30 30 0 30 30 C T 270 NOW use the CAST diagram (or you can use the Graph of sin A) to identify the other solutions for 3x+15 Don’t forget we are looking for solutions for 3x+15 up to 555 degrees! Now we solve for x