Use the Following Information to Determine the Remaining Five Trigonometric $\cos \theta = - \frac { 4 } { 7 } , 90 ^ { \circ } < \theta < 180 ^ { \circ }$

question 1

Multiple Choice

Use the following information to determine the remaining five trigonometric values. Rationalize any denominators that contain radicals. $\cos \theta = - \frac { 4 } { 7 } , 90 ^ { \circ } < \theta < 180 ^ { \circ }$

• A) \(\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = - \frac { \sqrt { 33 } } { 4 } , \csc \theta = \frac { 7 \sqrt { 33 } } { 33 } , \cot \theta = - \frac { 4 \sqrt { 33 } } { 33 } , \sec \theta = - \frac { 7 } { 4 }\)
• B) \(\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = - \frac { \sqrt { 33 } } { 4 } , \csc \theta = \frac { 7 \sqrt { 33 } } { 33 } , \cot \theta = - \frac { 4 \sqrt { 33 } } { 33 } , \sec \theta = \frac { 7 } { 4 }\)
• C) \(\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = - \frac { \sqrt { 33 } } { 4 } , \csc \theta = - \frac { 7 } { 4 } , \cot \theta = - \frac { 4 \sqrt { 33 } } { 33 } , \sec \theta = \frac { 7 \sqrt { 33 } } { 33 }\)
• D) \(\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = \frac { 4 \sqrt { 33 } } { 33 } , \csc \theta = - \frac { 7 } { 4 } , \cot \theta = \frac { \sqrt { 33 } } { 4 } , \sec \theta = \frac { 7 \sqrt { 33 } } { 33 }\)
• E) \(\sin \theta = \frac { \sqrt { 33 } } { 7 } , \tan \theta = \frac { 4 \sqrt { 33 } } { 33 } , \csc \theta = \frac { 7 \sqrt { 33 } } { 33 } , \cot \theta = \frac { \sqrt { 33 } } { 4 } , \sec \theta = - \frac { 7 } { 4 }\)

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Definitions:

Nephron Tubules

The microscopic tubes in the kidney where urine is formed and various substances are filtered, reabsorbed, or secreted.

Proximal Convoluted

Refers to the Proximal Convoluted Tubule, a part of the nephron in the kidney involved in the reabsorption of water, ions, and other substances from the filtered blood.

Loop Of Henle

A section of the nephron tubule in the kidney, crucial for concentrating urine and conserving water.

Detrusor Muscle

A smooth muscle layer of the urinary bladder wall that contracts to expel urine.