Verify the identity.

cosine of x divided by quantity one plus sine of x plus quantity one plus sine of x divided by cosine of x equals two times secant of x.

Question

Verify the identity.

cosine of x divided by quantity one plus sine of x plus quantity one plus sine of x divided by cosine of x equals two times secant of x.

anonymous · Answer

$$\frac{ cosx }{ 1+sinx } + \frac{ 1+sinx }{ cosx } = 2secx$$

dan815 · Answer

sec = 1/cos

dan815 · Answer

multiply everything everything by cos x

dan815 · Answer

cos^2x = 1-sin^2x = 1+sinx)(1- sinx) so u have 1+sin x left in 1 term on left

dan815 · Answer

and 1+ sin x left

dan815 · Answer

there for 1-sinx+1+sinx =2 yes true

dan815 · Answer

therefore*

dan815 · Answer

make sense?

anonymous · Answer

Partially, from my experience in this shouldn't you first make the denominators common to one another. My teacher taught me to work with the left side first to make sure that it equals the right side to verify it.

dan815 · Answer

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