Use the right Triangle below to identify the following trigonometric values. Please can I get the answers in fraction form. a) Find the exact value of sec X  b) Find the exact value of cot x.

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Use the right Triangle below to identify the following trigonometric values. Please can I get the answers in fraction form.

a) Find the exact value of sec X 

b) Find the exact value of cot x.

The image is a diagram of a right triangle. 

- The vertical side (opposite) of the triangle measures 9 units.
- The horizontal side (adjacent) is labeled with a variable \( x \).
- The hypotenuse, which is the diagonal side opposite the right angle, measures 10 units.

This triangle can be analyzed using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (\( c \)) is equal to the sum of the squares of the lengths of the other two sides (\( a \) and \( b \)). The formula is:

\[ a^2 + b^2 = c^2 \]

In this example:

\[ 9^2 + x^2 = 10^2 \]

This equation can be solved to find the value of \( x \).
Transcribed Image Text:The image is a diagram of a right triangle. - The vertical side (opposite) of the triangle measures 9 units. - The horizontal side (adjacent) is labeled with a variable \( x \). - The hypotenuse, which is the diagonal side opposite the right angle, measures 10 units. This triangle can be analyzed using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (\( c \)) is equal to the sum of the squares of the lengths of the other two sides (\( a \) and \( b \)). The formula is: \[ a^2 + b^2 = c^2 \] In this example: \[ 9^2 + x^2 = 10^2 \] This equation can be solved to find the value of \( x \).
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