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Find the values of: tan 105°

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Question

Find the values of:

tan 105°

Sum
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Solution

tan 105° = tan (60° + 45°)

= `(tan60^circ + tan45^circ)/(1 - tan60^circ tan45^circ)`

= `(sqrt(3) + 1)/(1 - (sqrt(3))(1)`

= `(sqrt(3) + 1)/(1 - sqrt(3))`

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Chapter 3: Trigonometry - 2 - Exercise 3.1 [Page 39]

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