Use half-angle identities to find an exact value without a calculator. tan⁡195∘

Mabel Breault

Mabel Breault

Answered

2022-01-16

Use half-angle identities to find an exact value without a calculator.
tan195

Answer & Explanation

vrangett

vrangett

Expert

2022-01-17Added 36 answers

Let u2=195, then u=390. We can reduce u to 30 by subtracting 360. Now use one of the tan half angle identities
tanu2=1cosusinu
tan195=1cos30sin30=13212=23
Result:
23

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