Trigonometric Problem #3
Geometry
Level
1
If sin x = cos x, then find the angle x (smallest angle) in the terms of (i) tan (ii) cot
15°
45°
255°
75°
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1 solution
As sin x = cos x
Dividing b/s by cos x, we get
sin x/cos x = cos x/ cos x => tan x = 1 => x = 45°
Similarly in case of cot x, we'll divide b/s by sin x and we'll get,
=> cot x = 1 => x = 45°