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Trigonometry 13 Online
OpenStudy (anonymous):

Few questions please help?!

OpenStudy (anonymous):

1. Use the given values to evaluate the remaining trigonometric functions. \[cscx=\sqrt{17},tanx=-\frac{ 1 }{ 4 }\] 2. Find all solutions of the equation in the interval [0, 2π). \[\tan^2x-secx=-1\] 3. Given a triangle with side lengths a = 9, b = 3, and c = 11, find the measure of angle A. 4. Factor the expression and use the fundamental identities to simplify. \[\cos^2xsin^2x-\cos^2x\]

OpenStudy (saifoo.khan):

Hint: csc = 1/sin

OpenStudy (anonymous):

3.\[\cos A=\frac{ b^2+c^2-a^2 }{ 2bc }\] 4. take common\[-\cos ^2x\]

OpenStudy (anonymous):

@surjithayer how do I do #4?

OpenStudy (anonymous):

\[-\cos ^2x \left( -\sin ^2x+1 \right)=-\cos^2x \cos ^2x=-\cos ^4x\]

OpenStudy (anonymous):

Thanks do you know how to do the first 2?

OpenStudy (anonymous):

\[\csc x=\sqrt{17},\sin x=\frac{ 1 }{ \sqrt{17} }\]

OpenStudy (anonymous):

\[\tan x=-\frac{ 1 }{ 4 },\cot x=-4\]

OpenStudy (anonymous):

\[\cot x=-4,\frac{ \cos x }{ \sin x }=-4,\cos x=-4 \sin x=-4*\frac{ 1 }{ \sqrt{17} }\]

OpenStudy (anonymous):

\[\sec x=-\frac{ \sqrt{17} }{ 4 }\]

OpenStudy (anonymous):

Thank you @surjithayer !

OpenStudy (anonymous):

yw

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