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Domain and Range of Basic Inverse Trigonometric Functions

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Question

What is the value of $\cos e c 30 ° + c o t 45 °$ ?

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Solution

Find the value of $\cos e c 30 ° + c o t 45 °$ :
$\begin{array}{rcl} \cos e c 30 ° + c o t 45 ° & = & 2 + 1 \{∵ \cos e c 30 ° = 2 and c o t 45 ° = 1\} \\ = & 3 \end{array}$
Hence, the value of $\begin{array}{l} \cos e c 30 ° + c o t 45 ° \end{array}$ is $3$ .

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