Show that tan = 1/v3 , Mathematics

If 7sin2?+3cos2? = 4, show that tan? =   1/√3                      .

Ans:    If 7 Sin2? + 3 Cos2? = 4 S.T. Tan?  1/√3

7 Sin2? + 3 Cos2? = 4 (Sin2? + Cos2?)

⇒ 3 Sin2? = Cos2?

Sin 2? / Cos 2?  =   1/3

⇒ Tan2? = 1/3

Tan? =   1/√3

 

Posted Date: 4/9/2013 1:08:46 AM | Location : United States







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