[SOLVED] Help with trig identities proof

**83457** · November 19th 2009, 03:24 PM

I'm stuck on the trig identities proof and I was wondering if someone could get me started.

**Soroban** · November 19th 2009, 03:49 PM

Hello, 83457!

$(\tan x + \cot x)^2 \:=\:\sec^4\!x\cot^2\!x$

Left side: . $(\tan x + \cot x)^2 \;=\;\left(\tan x + \frac{1}{\tan x}\right)^2 \;=\;\left(\frac{\tan^2\!x + 1}{\tan x}\right)^2 \;=$ . $\left(\frac{\sec^2\!x}{\tan x}\right)^2 \;=\;\frac{\sec^4\!x}{\tan^2\!x} \;=\;\sec^4\!x\cot^2\!x$

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