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Verify the given identities.$$\tan \left(-\frac{x}{2}\right)=\cot x-\csc x$$

$$\tan \left(-\frac{x}{2}\right)=-\tan \frac{x}{2}=-\left(\frac{1-\cos x}{\sin x}\right)=\cot x-\csc x$$

Precalculus

Chapter 6

Trigonometric Identities and Equations

Section 3

Multiple-Angle Identities; Sum and Product Identities

Algebra Topics That are Reviewed at the Start of the Semester

Trigonometry

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Campbell University

University of Michigan - Ann Arbor

Idaho State University

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Verify the identity.$$…

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we a problem? Number 75 And it's been it to verify the identity. Then minus X by two. 10 minus x by toe equal to got X minus cause cigarettes got X minus. Call cigarettes So the majestic left inside. That is Allah test and we will use the formula 10 X by two equal to one minus, of course, X or sign next. So here we have 10 minus expert to So this is 10 minus X Y two. So everything will be one minus course minus X by two over. Sign minus exploit toe One thing Remember that sign minus t take will to mine a scientific data so and cost eater. So the cost minus Tita He called toe cost later. So this will be as it is. And this we have to put a negative sign over here. Okay, so this is one minus cause X by two over minus nine. Exabyte two. No, we should just separate and divide separately. It will be one over. Minus sign. Exabyte two minus cause exabyte two over minus. Sane expired too. Okay. Now, according to reciprocal identity, this will be cause it gets by two with negative sign off minus or sick? Expecto. And this will be a place according to course. Entire entity. This course Excellent to buy sign. It's where you will be caught Expert too. God expired toe. So if you didn't these two terms we will be having God x y tu minus classic exabyte two. So these Abdeh and this is equal to our but I Tensai so it is very fight.

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