# Why sine of an acute angle cannot be greater than 1?

For any angle of incidence greater than the critical angle, ... the critical angle value cannot be ... the above equation for the critical angle. Θcrit = sin-1 ... - Read more

This definition can be extended to include angles greater than ... Then for α acute, the sine of angle ... e Use the identity cos 2 θ + sin 2 θ = 1 to show that ... - Read more

## Why sine of an acute angle cannot be greater than 1? resources

### The law of sines, including the ambiguous case.

The statement of the law of sines. ... are defined in a right triangle in terms of an acute angle. What, then, ... b sin A = 2 /2 = , which is greater than a.

### Acute Angle | What are Acute Angles | Math@TutorVista.com

(1) Acute Angle (less than 90\$^{\circ}\$) (2) ... (greater than 180\$^{\circ}\$ and ... We are going to focus on acute angles here in this page. Acute angle is one of ...

### Sine table definition of Sine table in the Free Online ...

The absolute values of the trigonometric functions cos ɸ and sin ɸ cannot be greater than 1; ... Ptolemy constructed the first table of chords for acute angles; ...

### Math Forum - Ask Dr. Math

... Angles greater than 90 Degrees ... they are used for acute angles. If an angle is greater than 90 ... The hypotenuse is 1, so the sine of angle A is y/1 ...

### History of trigonometry - Wikipedia, the free encyclopedia

... are the laws of cosines for obtuse and acute angles, ... angles of a spherical triangle is greater than 180 ... of plane trigonometry in using the sine, ...

### Angles - Acute, Obtuse, Straight and Right

Acute Angle: an angle that is less than 90 ... Obtuse Angle: an angle that is greater than 90° but ... There are two main ways to label angles: 1. give the angle a ...

### Trigonometry and Geometry Conversions, Sin(A + B), Sin(A ...

You know that no sine (or cosine) can be more than 1. Why? the ratio has the ... A sine or cosine can never be greater than 1, ... Ratios of angles greater than 90 ...

### Acute dictionary definition | acute defined

of less than 90 degrees: an acute angle; intensive (sense ) ... 4 Pics 1 Word Answers; ... Jared.s senses were more acute than his, ...

### refraction Facts, information, pictures | Encyclopedia.com ...

Indexes of refraction are always equal to or greater than 1 ... sin i. Thus, there will be some acute angle ... greater than the critical angle, refraction ...

### Law of Sines - California State University, San Bernardino

7.1 Law of Sines. We have already seen ... since no angle has sine greater than 1. ... If the value is less than 1, there might be two angles here (one acute and one ...

### refraction: The Law of Refraction | Infoplease.com

Indexes of refraction are always equal to or greater than 1 ... sin i. Thus, there will be some acute angle ... greater than the critical angle, refraction ...

### The law of sines, including the ambiguous case.

The sine of an obtuse angle. The ambiguous case. ... are defined in a right triangle in terms of an acute angle. What, then, ... then b sin A > a. (1.732).

### How to Find Sides of an Obtuse Triangle | eHow

In geometry, obtuse triangles are angles, other than right triangles, in which one of the three internal angles is strictly greater than 90 degrees. This is the ...

### 12 Trigonometric Functions of Any Angle - Arkansas Tech ...

... not just acute angles, (2) ... 1): Then by the above de nitions we have ... The values of trigonometric functions of angles greater than 90 ...

### Triangle - Math Wiki

In a right triangle with acute angles measuring ... The sine of an angle is the ratio of the length ... one would find that the sum of its angles were greater than ...

### Trigonometric Ratios - Nexus

EXAMPLE 1 tangent, sine,cosine, trigonometric ratio GOAL 1 ... Why you should learn it ... • For what angle measures is the tangent of an acute angle greater than 1?

### Acute Triangle | Acute Triangle Properties | Math ...

In acute angled triangle, interior angles are less than 90 degrees and with different side measure. Some acute triangle facts are given below: Altitude: The line to ...

### Obtuse triangle definition - Math Open Reference

Obtuse Triangle. From Latin: obtusus ... all three angles are acute and so the triangle is acute. ... Greater than 90° (obtuse): the triangle is an obtuse triangle;

### Angles - GMAT Math Study Guide - GMAT Prep From Platinum ...

Acute Angle - An angle less than 90° and greater than 0 ... An acute angle is one whose measurement is less than 90°. Angle A, shown below, is an acute angle ...

### Reference Angle (with worked solutions & videos)

Example: Determine the reference angle that corresponds to each of the following angle. a) 165˚ b) 249˚ c) 328˚ Solution: a) 165˚ is in quadrant II (90˚ < 165 ...

### 6. Trigonometric Functions of Any Angle - Intmath

The Reference Angle . For any angle θ (greater than `90^@`), ... α is an acute angle (that is, less than 90 ... Arcsin or sin-1? Why do I use "`arcsin ...

### 2.3 Evaluating Trigonometric Functions for any Angle

... TAKE CALCULUS All functions are positive Sine and its reciprocal ... be greater than 1. x y r ... positive acute angle determined by the x ...

### What is the least number of interior angles that are ...

Answer 1 of 2: Any convex polygon can have at most 3 acute interior angles. For any acute interior angle, the exterior angle will be greater than 90 degrees....

### Video: Examples of Acute Angles Found in Your Home | eHow

Acute angles are found all ... How to Use the Sine Rule to Find the Unknown Obtuse Angle. ... M and N both have acute angles as to the less than and greater than ...

### Reference Angles (with videos, worksheets, games & activities)

... learn about reference angles. Sine and ... and sine for the reference angle, ... the sine and cosine values of angles greater than ...

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