Mathematics: Verify that the following equation is an identity. (1/sinx) - (1/cscx) = cscx - sinx

Verify that the following equation is an identity.

Ответ:

deyii2030

01.01.2022

Manipulating the left side of the equation, we obtain:

$\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}$

Using that $\csc x=\dfrac{1}{\sin x}$ :

$\dfrac{\csc x-\sin x}{\sin x\cdot\csc x}=\dfrac{\csc x-\sin x}{\sin x\cdot\dfrac{1}{\sin x}}=\dfrac{\csc x-\sin x}{1}=\csc x-\sin x\\\\\boxed{\dfrac{1}{\sin x}-\dfrac{1}{\csc x}=\csc x-\sin x}~~\blacksquare$

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Ответ:

stodd9503

30.12.2022

Mathematics

B) n-3=22

hope this is helpful!!

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Verify that the following equation is an identity. (1/sinx) - (1/cscx) = cscx - sinx

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