Find the value? #(Tan85^@ - Tan25^@)/(1+Tan85^@Tan25^@)#

1 Answer
Rhys
May 20, 2018

# = sqrt(3) #

Explanation:

Use the identity:

#tan(alpha - beta ) = (tan(alpha) - tan(beta)) / ( 1 + tan (alpha) tan (beta) #

In this case #alpha = 85^circ # and #beta = 25^circ #

# = tan ( 85^circ - 25^circ ) #

# = tan(60^circ) #

# = sqrt(3) #

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