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## Homework Statement

Simplify:

(sin t + cos t)

^{2}

/

sin t cos t

## Homework Equations

tan t = sin t/cos t

cot t = cos t/sin t

cot t = 1/tan t

## The Attempt at a Solution

(sin t + cos t)

^{2}

/

sin t cos t

sin

^{2}t + 2sin t cos t + cos

^{2}t

/

sin t cos t

(sin t/cos t) + 2 + (cos t/sin t)

tan t + cot t + 2

tan t + (1/tan t) + 2

(tan

^{2}t + 2tan t + 1)

/

tan t

(tan t + 1)

^{2}

/

tan t

The above answer look wrong. I don't know what else to do though.

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