Inverse Trigonometric Functions (Section 4-7)

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Presentation transcript:

Inverse Trigonometric Functions (Section 4-7)

Find the exact value of each expression without using a calculator. Example 1

Find the exact value of each expression without using a calculator. Example 2

Find the exact value of each expression without using a calculator. Example 3

Find the exact value of each expression without using a calculator. Example 4

Find the exact value of each expression without using a calculator. Example 5

Find the exact value of each expression without using a calculator. Example 6

Find the exact value of each expression without using a calculator. Example 7

radians Use a calculator to approximate the value of the expression. Example 8

radians Use a calculator to approximate the value of the expression. Example 9

radians Use a calculator to approximate the value of the expression. Example 10

Use an inverse trigonometric function to write θ as a function of x. Example 11 θ 6 x

Use an inverse trigonometric function to write θ as a function of x. Example 12 θ x+4 3

HW#32 pg 327 (1-12 all, 15-23odd)

Find the length of the third side of the triangle in terms of x Find the length of the third side of the triangle in terms of x. Then find θ in terms of x for all three inverse trigonometric functions. DO NOT RATIONALIZE THE DENOMINATOR. Example 13 θ 3 x

Find the length of the third side of the triangle in terms of x Find the length of the third side of the triangle in terms of x. Then find θ in terms of x for all three inverse trigonometric functions. DO NOT RATIONALIZE THE DENOMINATOR. Example 14 θ x+1 4

Use the properties of inverse functions to find the exact value of the expression. Example 15

Use the properties of inverse functions to find the exact value of the expression. Example 16

Use the properties of inverse functions to find the exact value of the expression. Example 17

Use the properties of inverse functions to find the exact value of the expression. Example 18

Use the properties of inverse functions to find the exact value of the expression. Example 19

Use the properties of inverse functions to find the exact value of the expression. Example 20

Find the exact value of the expression. (Hint: Use a right triangle.) Example 21

Find the exact value of the expression. (Hint: Use a right triangle.) Example 22

Find the exact value of the expression. (Hint: Use a right triangle.) Example 23

Find the exact value of the expression. (Hint: Use a right triangle.) Example 24

HW #33 pg 328 (25-6 1odd)