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

question 368

Multiple Choice

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

• A)sin \(\theta\) = \(\frac { 15 } { 8 }\) csc \(\theta\) = \(\frac { 8 } { 15 }\) cos \(\theta\) = \(\frac { 17 } { 15 }\) sec \(\theta\) = \(\frac { 15 } { 17 }\) tan \(\theta\)= \(\frac { 17 } { 8 }\) cot \(\theta\) = \(\frac { 8 } { 17 }\)
• B)sin \(\theta\)= \(\frac { 17 } { 8 }\) csc \(\theta\) = \(\frac { 8 } { 17 }\) cos \(\theta\) = \(\frac { 17 } { 15 }\) sec \(\theta\) = \(\frac { 15 } { 17 }\) tan \(\theta\) = \(\frac { 15 } { 8 }\) cot \(\theta\) = \(\frac { 8 } { 15 }\)
• C)sin \(\theta\) = \(\frac { 8 } { 17 }\) csc \(\theta\) = \(\frac { 17 } { 8 }\) cos \(\theta\) = \(\frac { 15 } { 17 }\) sec \(\theta\) = \(\frac { 17 } { 15 }\) tan \(\theta\) = \(\frac { 8 } { 15 }\) cot \(\theta\) = \(\frac { 15 } { 8 }\)
• D)sin \(\theta\) = \(\frac { 17 } { 15 }\) csc \(\theta\)= \(\frac { 17 } { 8 }\) cos \(\theta\) = \(\frac { 15 } { 8 }\) sec \(\theta\) = \(\frac { 8 } { 17 }\) tan \(\theta\) = \(\frac { 8 } { 15 }\) cot \(\theta\) = \(\frac { 15 } { 17 }\)
• E)sin \(\theta\) = \(\frac { 15 } { 17 }\) csc \(\theta\) = \(\frac { 8 } { 15 }\) cos \(\theta\) = \(\frac { 8 } { 17 }\) sec \(\theta\) = \(\frac { 15 } { 8 }\) tan \(\theta\) = \(\frac { 17 } { 8 }\) cot \(\theta\) = \(\frac { 17 } { 15 }\)

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Urine Concentration

The process by which the kidneys regulate the water content and solute composition of urine, affecting its overall concentration.

Distal Tubule

A portion of the kidney nephron that functions in the reabsorption of electrolytes and water, and the secretion of hydrogen and potassium ions.

Collecting Tubule

Kidney tubule that receives fluid from several nephrons and delivers it to the renal pelvis.

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