Give the Exact Value of the Expression $\cos \left( \arcsin \frac { 5 } { 13 } + \arccos \frac { 3 } { 5 } \right)$

question 167

Multiple Choice

Give the exact value of the expression.
- $\cos \left( \arcsin \frac { 5 } { 13 } + \arccos \frac { 3 } { 5 } \right)$

• A) \(\frac { 48 } { 65 }\)
• B) \(\frac { 56 } { 65 }\)
• C) \(\frac { 16 } { 65 }\)
• D) \(\frac { 72 } { 65 }\)

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Definitions:

ADH

ADH, or Antidiuretic Hormone, is a hormone produced by the pituitary gland that regulates water balance in the body by controlling the concentration of urine.

Water Retention

The accumulation of excess fluids in the body tissues, often resulting in swelling, which can be caused by a variety of health conditions.

Dehydration

A condition resulting from the excessive loss of body water, impairing normal bodily functions.

Corpus Luteum

A temporary endocrine structure in female ovaries that secretes progesterone to regulate the menstrual cycle and maintain early stages of pregnancy.