Post1330_section5o4 - Section 5.4 Inverse Trigonometric...

Info iconThis preview shows pages 1–4. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
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
Background image of page 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
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 4
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 8

Post1330_section5o4 - Section 5.4 Inverse Trigonometric...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online