Ask Me Help Desk - Pre cal proofs

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pre cal proofs

can someone please help me slove these 4 questionss?

1) Sin/ Csc + Cos/ Sec =1

2) sin^2/Sec^2-1 = Cos^2

3) tan/sin =sec

4) 1/1-sin^2=1+tan^2

I really need helpp!

I'll do the last one. The first one, I don't understand. The second and third are simple, if you know your formulae.

$\frac{sin^2}{sec^2-1} = cos^2$

$sec^2-1 = tan^2 = \frac{sin^2}{cos^2}$

$\frac{sin^2}{\frac{sin^2}{cos^2}} = cos^2$

$sin^2 \times \frac{cos^2}{sin^2} = cos^2$

$cos^2= cos^2$

Please, learn your formulae!

$tan^2 + 1 = sec^2$
$cos^2 + sin^2 = 1$
$1 + cot^2 = cosec^2$
$tan = \frac{sin}{cos}$
$tan = \frac{1}{cot}$
$cos = \frac{1}{sec}$
$sin = \frac{1}{cosec}$

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