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

1 Answer
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)