NCERT Class XI Mathematics - Trigonometric Functions - Solutions

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Question : 43
Total: 61
tan x = 3
Solution:  
A value of x satisfying tanx = 3 is
π
3

Principal Solution : We know that tan
π
3
= 3 and tan (π+
π
3
)
= tan
π
3
= 3
Thus, tan
π
3
= tan
4π
3
= 3
Therefore principal solutions are
π
3
,
4π
3

General Solution : We know that tan
π
3
= 3
Therefore tanx = 3 ⇒ tan x =
π
3

⇒ x = nπ +
π
3
, n ∊ Z
[Since If tanθ = tanα, then θ = n π + α, n ∈ Z]
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