Question

Express tan 22 ° 30 ' in surd form :-
Solution Required with proper implementation of formula
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Answer 1

tan 22½° = 2√−12√+1−−−−√

tan 22½° = 2√−12√+1⋅2√−12√−1−−−−−−−−−−√

tan 22½° = (2√−1)22−1−−−−−−√

tan 22½° = √2 - 1

Therefore, tan 22½° = √2 - 1