This applet shows how the graphs of sin (θ) and cos (θ) follow directly from the definition of these functions. Move the slider to change the angle. Observe that after the point moves once around the ...

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

Anna F. DeJarnette, Students' Conceptions of Sine and Cosine Functions When Representing Periodic Motion in a Visual Programming Environment, Journal for Research in Mathematics Education, Vol. 49, No ...

Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths.

Dorothea D. Bone, SINE AND COSINE FUNCTIONS WITH A CALCULATOR, The Mathematics Teacher, Vol. 73, No. 7 (October 1980), pp. 521-524, 529 ...

With static graphs and equations, it's possible to get a handle on the rules of what various functions do and mean.

Phase angle In a function such as sine or cosine, we could also have a translation of the form: y = sin (x a) ∘ where a is called the phase angle.

These identities are particularly useful because they allow you to express any trigonometric function in terms of sine and cosine – often the key to solving complex problems.