Trigonometry
Trigonometric Equations
3 tan x = 3 [ o ≤ x ≤ 2 π ]

π/4, 3π/4

Step-by-step explanation:

3tanx = 3

tanx = 1

Basic angle: π/4

x = π/4

x = π + π/4 = 3π/4

you need to show us the graph.

step-by-step explanation:

intensity of the vector is v= √37 ≈ 6.08 units and make angle ∡α ≈ 9.46° with east direction

step-by-step explanation:

required vector is consists of the two componentsvx= 2+4=6 units   and vy= 1 unit and vx ⊥ vywe will use pythagorian theorem to find intensity of the vector vv∧2 = vx∧2 + vy∧2 => v = √vx∧2 + vy∧2 = √6∧2 + 1∧2 = √36+1 = √37 ≈ 6.08 unitsthe angle ∡α between vector and east direction we wil find with tanαtanα = 1/6 => α = arc tanα = arc 1/6 => α ≈ 9.46°

hope this