Positive and negative angles. Measuring angles in radians and in degrees and conversion from
one measure to another. Definition of trigonometric functions with the help of unit circle. Truth of
the identity sin2x + cos2x = 1, for all x. Signs of trigonometric functions and sketch of their
graphs. Expressing sin (x+ y) and cos (x + y) in terms of sin x, sin y,
cos x and cos y. Deducing the identities like following:
Identities related to sin2x, cos2x, tan2x, sin3x, cos3x and tan3x. General solution of trigonometric
equations of the type sinθ = sin α, cosθ = cosα and tanθ = tan α. Proofs and simple applications
of sine and cosine formulae.
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