Tan Values. tan 0° = 0/1 = 0. tan 30° = [(√1/4)/√(3/4)] = 1/√3. tan 45° = √(2/4) = 1/√2. tan 60° = [(√3/2)/(½)] = √3. tan 90° = 1/0 = ∞. Hence, the sin cos tan values are found.
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Sine, Cosine and Tangent are the main functions used in Trigonometry and are based on a Right-Angled Triangle. Before getting stuck into the functions, it helps to give a nameto each side of a right triangle:
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Returns the tangent of the given angle. This requires the values to be a number. If your argument is in degrees, multiply it by PI()/180 or use the RADIANS function to convert it to radians.
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tan(θ) = Opposite / Adjacent We can obtain Tangent θ simply by dividing Sine by Cosine we get: sin(θ)/ cos(θ) = Opposite/Hypotenuse / Adjacent/Hypotenuse = Opposite/ Adjacent = tan(θ)
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Now as per sine, cosine and tangent formulas, we have here: Sine θ = Opposite side/Hypotenuse = BC/AC Cos θ = Adjacent side/Hypotenuse = AB/AC Tan θ = Opposite side/Adjacent side = BC/AB
Now, write the values of sine degrees in reverse order to get the values of cosine for the same angles. As we know, tan is the ratio of sin and cos, such as tan θ = sin θ/cos θ. Thus, we can get the values of tan ratio for the specific angles.
Sin Cos Tan Formula. The three ratios, i.e. sine, cosine and tangent have their individual formulas. Suppose, ABC is a right triangle, right-angled at B, as shown in the figure below: Now as per sine, cosine and tangent formulas, we have here: Sine θ = Opposite side/Hypotenuse = BC/AC; Cos θ = Adjacent side/Hypotenuse = AB/AC
Sine, Cosine and Tangent. The main functions in trigonometry are Sine, Cosine and Tangent. They are simply one side of a right-angled triangle divided by another. For any angle "θ": (Sine, Cosine and Tangent are often abbreviated to sin, cos and tan.)
The general rule is: See Solving Triangles for more details. Similar to Sine, Cosine and Tangent, there are three other trigonometric functions which are made by dividing one side by another: The Trigonometric Identities are equations that are true for all right-angled triangles.
The Trigonometric Identities are equations that are true for all right-angled triangles. The Triangle Identities are equations that are true for all triangles (they don't have to have a right angle).
Try Sin Cos and Tan. Play with this for a while (move the mouse around) and get familiar with values of sine, cosine and tangent for different angles, such as 0°, 30°, 45°, 60° and 90°.