find the value of tan 30°,60 °, 90° without using trigonometric value table.
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Answer:
0.57735
In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.
To find the value of tan 60 degrees geometrically, consider an equilateral triangle ABC since each of an angle in an equilateral triangle is 600. Draw a perpendicular line AD from A to BC. In the same way, we can derive other values of tan degrees like 0°, 30°, 45°, 90°, 180°, 270° and 360°.
The exact value of tan 90 is infinity or undefined.
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