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Post1330_section5o4

# Post1330_section5o4 - Section 5.4 Inverse Trigonometric...

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Section 5.4 – The Inverse Trigonometric Functions 1 Section 5.4 Inverse Trigonometric Functions The function sin(x) is graphed below. Notice that this graph does not pass the horizontal line test; therefore, it does not have an inverse. Restricted Sine Function and It’s Inverse However, if we restrict it from 2 π - = x to 2 = x then we have created the “Restricted” sine function and it’s one-to-one. -π/2 π/2 -1 1 x y Since the restricted sine function is one-to-one, it has an inverse ) arcsin( ) ( sin ) ( 1 x x x f = = - . Domain: - 2 , 2 Range: [-1, 1] Domain: [-1, 1] Range: - 2 , 2
Section 5.4 – The Inverse Trigonometric Functions 2 Restricted Cosine Function and It’s Inverse The function cos(x) is graphed below. Notice that this graph does not pass the horizontal line test; therefore, it does not have an inverse. However, if we restrict it from

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Post1330_section5o4 - Section 5.4 Inverse Trigonometric...

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