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Express Tan x as function of sin only

Sagot :

Answer:

Tan x = sin x / √[1 - sin²θ]

Step-by-step explanation:

We know that;

Tanx = Sinx / cosx

Squaring both side

Tan²x = Sin²x / cos²x

[cos²θ = 1 - sin²θ]

So,

Tan²x = Sin²x / [1 - sin²θ]

Taking root both side

Tan x = sin x / √[1 - sin²θ]

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