Answer
$3$
Work Step by Step
We know these trigonometric values
$\sec \dfrac{-\pi}{3} =2$ and $\cot \dfrac{- 5\pi}{4}=-1$
We evaluate the given expression to obtain: $ \sec ( \dfrac{-\pi}{3}) - \cot (\dfrac{-5 \pi}{4})=2 -(-1) $
or, $=3$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 5 - Trigonometric Functions - Chapter Review - Review Exercises - Page 458: 8
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