1.

Find the exact value of [tan(25o) + tan(50o]/[1 - tan(25o) tan(50o)]1). √32). √3 + 23). 34). -√3

Answer»

The addition FORMULA for the tangent may be used to write

⇒ [TAN(25o) + tan(50o)]/[1 - tan( 25o) tan(50o)] = tan(25o + 50o) = tan(75o) = tan(45o + 30o)

⇒ [tan(45o) + tan(30o)]/[1 - tan(45o)tan(30o) ] = [ 1 + 1/√3 ]/[1 - 1 × 1/√3] = √3 + 2



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