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A series of videos on trigonometry. For question on these and other topics, contact Professor Santiago at john@e-liteworks...
This section of Revision Videos contains videos that explain the Sine and Cosine Rules. The Law of Cosines.
The functions sine, cosine and tangent of an angle are sometimes referred to as the primary or basic trigonometric functions. The remaining trigonometric functions secant (sec), cosecant (csc), and cotangent (cot) are defined as the reciprocal functions of cosine, sine, and tangent, respectively.
Opposite. Sine, Cosine and Tangent. The three main functions in trigonometry are Sine, Cosine and Tangent. They are just the length of one side divided by another. For a right triangle with an angle θ : Sine Function: sin (θ) = Opposite / Hypotenuse. Cosine Function: cos (θ) = Adjacent / Hypotenuse. Tangent Function: tan (θ) = Opposite / Adjacent.
Function Ranges. y = \sin (x) -1\le y\le 1. y = \cos (x) -1\le y\le 1. y = \tan (x) -\infty < y <\infty. y = \cot (x) -\infty < y <\infty. y = \csc (x) -\infty < y\le -1\:\bigcup \:1\le y < \infty. y = \sec (y) -\infty < y\le -1\:\bigcup \:1\le y < \infty.
19 lut 2024 · Figure 3 Graph of y = cos θ y = cos θ. For all θ θ in the domain of the sine and cosine functions, respectively, we can state the following: Since sin (− θ) = − sin θ, sin (− θ) = − sin θ, sine is an odd function. Since, cos (− θ) = cos θ, cos (− θ) = cos θ, cosine is an even function.
How do you use the fundamental identities to prove other identities? Divide the fundamental identity # sin^2x + cos^2x = 1# by #sin^2x# or #cos^2x# to derive the other two: #sin^2x/sin^2x + cos^2x/sin^2x = 1/sin^2x#. #1 + cot^2x = csc^2x#. #sin^2x/cos^2x + cos^2x/cos^2x = 1/cos^2x#. #tan^2x + 1 = sec^2x#.
