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How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Is the sine of an angle positive?
The sine of an angle between 0 and 180 degrees is positive. The sine of an angle between 180 degrees and 360 degrees is negative. At 0, 180 and 360 degrees the sine is 0.The sine is a periodic function with period 360 degrees, so angles differing by a multitude of 360 degrees have the same sine. Hence, for instance, the sines of the angles 0, 360, 720, ... are equal, namely 0.In any right triangle the sine of one of the non-right angles will be positive, since these are greater than 0 and less than 90 degrees.
How was sine cosine and tangent created?
They are all ratios for triangles found by dividing one side of a triangle by the others. Ex: sine=opposite side/hypotenuse. *** This is so for a right-angled triangle. Non-right-angle triangle dimensions can be calculated by trigonometry but require more complicated derived formulae.
What is principle value in trigonometry?
The trigonometric functions: sine, cosine, tan as well as their reciprocals are periodic so that their value repeats every 2π radians. As a result, the inverse operations are functions only over restricted domains, as follows. Sine : −π/2 ≤ y ≤ π/2 Cosine: 0 ≤ y ≤ π Tangent: −π/2 < y < π/2 The principal value is the angle that lies within the relevant range. All other solutions are non-principal. Similarly, the principal square root of a positive real number is the positive square root. The negative root is not the principal root.
Is planning linear or nonlinear?
Usually non-linear.Usually non-linear.Usually non-linear.Usually non-linear.
