In a triangle A B C we define x = t a n B − C 2 t a n A 2, y = t a n C − A 2 t a n B 2 and z = t a n A B 2 t a n C 2 Then the value of x + y + z (in terms of x, y, z) is View Solution Q 2
The arctan (x) is equal to the inverse tangent function: tan⁻¹ (x). If in a right triangle, the tan of the angle determines the ratio of the perpendicular to the base ( tan (x) = perpendicular / base ), then arctan will help us find the value of the angle x: x = tan⁻¹ (perpendicular / base).
The tangent function is a trigonometric identity that can be derived from various formulas using different trigonometric identities. The formula for the period of the tangent function f(x) = a tan (bx), is given by, Period = π/|b|. Tangent function tan x is a periodic function and has a period of π/1 = π (Because b =1 in tan x).
(i) If t a n A = 5 6 and t a n B = 1 11, prove that A+B= π 4 (ii) If t a n A = m m − 1 and t a n B = m 2 m − 1 then prove that A − B = π 4 View Solution Q 4
There is a neat formula: tan α = ∣∣∣ m1 −m2 1 +m1m2∣∣∣ tan α = | m 1 − m 2 1 + m 1 m 2 |. Above is for acute angle between two straight lines. Where α α is the angle between two straight lines and m1 m 1 and m2 m 2 are the slopes of those lines. Since we have a point B B, we only need a slope to form an equation of the line
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2 tan a tan b formula
