Help Science Teacher Software Logo
765 Resources
Science Teacher Help Software :: Science Knowledge Index
See Science Teacher Helper's resources, they are vector graphs (765 resources), please select the relevant categories:
Science Teacher Help

- Chemistry - Case and Canal : : Measure : : Other

Science Teacher Help

- Electronic - Basic : : Communication Apparatus: : Electron : : Logic gate and Switch : : Switch and Relay

  : : Switch and Connects : : Transformer and Coil
Science Teacher Help - Math - Algebra : : Geometry
Science Teacher Help - Physics - Basic : : Calorific : : Electricity : : Experiment : : Mechanics : : Optics
Purchase ( Price: $39.95 )    Free Download ( 743 KB )   Learn More....

Inverse Sine

The inverse function of sine.

Basic idea: To find sin-1(), we ask "what angle has sine equal to ?" The answer is 30. As a result we say sin-1() = 30. In radians this is sin-1() = π/6.

More: There are actually many angles that have sine equal to . We are really asking "what is the simplest, most basic angle that has sine equal to ?" As before, the answer is 30. Thus sin-1() = 30 or sin-1() = π/6.

Details: What is sin-1(-)? Do we choose 210, -30, 330 , or some other angle? The answer is -30. With inverse sine, we select the angle on the right half of the unit circle having measure as close to zero as possible. Thus sin-1(-) = -30 or sin-1(-) = -π/6.

In other words, the range of sin-1 is restricted to [-90, 90] or .

Note: arcsin refers to "arc sine", or the radian measure of the arc on a circle corresponding to a given value of sine.

Technical note: Since none of the six trig functions sine, cosine, tangent, cosecant, secant, and cotangent are one-to-one, their inverses are not functions. Each trig function can have its domain restricted, however, in order to make its inverse a function. Some mathematicians write these restricted trig functions and their inverses with an initial capital letter (e.g. Sin or Sin-1). However, most mathematicians do not follow this practice. This website does not distinguish between capitalized and uncapitalized trig functions.


inverse sine function


Science Teacher Help
Easily Create diagrams and schematic of physical, chemical, electronics and mathematics.

Science Teacher Help Software logo
Science Teacher Helper enables students, teachers and business professionals to reliably create and publish kinds of diagrams to represent any ideas. Science Teacher Helper provides you a versatile, easy, quick and professional solution to let you enjoy your working.

Science Teacher Helper is an add-on for Microsoft Word, it was designed with a single purpose in mind - to save you time when editing math Graphs, chemistry experiments and physics experiments and electronic circuit in your word documents. You can easily add 765 functions, graphs and charts of physical, chemical and math into your MS WORD document.


Free Download ( 743 KB )   

Learn More....