Find the Exact Values of the Six Trigonometric Functions of the Angle

question 52

Multiple Choice

Find the exact values of the six trigonometric functions of the angle ? shown in the figure. (Use the Pythagorean Theorem to find the third side of the triangle. ) ?

• A)sin ? = \(\frac { 5 } { 3 }\) csc ? = \[\frac { 3 } { 5 }\] Cos ? = \(\frac { 5 } { 4 }\) Sec ? = \(\frac { 4 } { 5 }\) Tan ? = \(\frac { 4 } { 3 }\) Cot ? = \(\frac { 3 } { 4 }\) ?
• B)sin ? = \(\frac { 4 } { 3 }\) ? csc ? = \(\frac { 3 } { 4 }\) ? Cos ? = \(\frac { 5 } { 4 }\) ? Sec ? = \(\frac { 4 } { 5 }\) ? Tan ? = \(\frac { 5 } { 3 }\) ? Cot ? = \(\frac { 3 } { 5 }\) ? ?
• C)sin ? = \(\frac { 4 } { 5 }\) ? csc ? = \(\frac { 3 } { 4 }\) ? Cos ? = \(\frac { 3 } { 5 }\) Sec ? = \(\frac { 4 } { 3 }\) Tan ? = \(\frac { 5 } { 3 }\) Cot ? = \(\frac { 5 } { 4 }\) ?
• D)sin ? = \(\frac { 3 } { 5 }\) csc ? = \(\frac { 5 } { 3 }\) Cos ? = \(\frac { 4 } { 5 }\) Sec ? = \(\frac { 5 } { 4 }\) Tan ? = \(\frac { 3 } { 4 }\) Cot ? = \(\frac { 4 } { 3 }\) ?
• E)sin ? = \(\frac { 4 } { 3 }\) csc ? = \(\frac { 5 } { 3 }\) Cos ? = \(\frac { 5 } { 4 }\) Sec ? = \(\frac { 3 } { 5 }\) Tan ? = \(\frac { 3 } { 4 }\) Cot ? = \(\frac { 4 } { 5 }\) ?

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Definitions:

Globin

A group of proteins that form part of the structure of hemoglobin, responsible for oxygen transport in the blood.

Peptide Bonds

Chemical bonds formed between amino acids during protein synthesis, linking the carboxyl group of one amino acid to the amino group of another, releasing water.

Protein Structure

The three-dimensional arrangement of atoms in an amino acid-chain molecule, crucial for the protein's function.

Primary

First in order, rank, importance, or relating to the initial stage of a process or sequence.