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
Principal Solution : We know that tan
= √ 3 and tan ( π +
) = tan
= √ 3
Thus, tan
= tan
= √ 3
Therefore principal solutions are
,
General Solution : We know that tan
= √ 3
Therefore tanx =√ 3 ⇒ tan x =
⇒ x = nπ +
, n ∊ Z
[Since If tanθ = tanα, then θ = n π + α, n ∈ Z]
Principal Solution : We know that tan
Thus, tan
Therefore principal solutions are
General Solution : We know that tan
Therefore tanx =
⇒ x = nπ +
[Since If tanθ = tanα, then θ = n π + α, n ∈ Z]
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