Find the value of tan 75.

Turner Pitts

Turner Pitts

Answered question

2023-02-04

Find the value of tan750.

Answer & Explanation

Russell Kelly

Russell Kelly

Beginner2023-02-05Added 3 answers

Extend the value of tan750 at a few common angles.
tan750=tan450+300
Expand the above expression using identity tanA+B=tanA+tanB1-tanAtanB.
tan00=0tan300=13tan450=1tan600=3tan900=
So, tan750=tan450+300.
tan750=tan450+tan3001-tan450tan300=1+131-13=3+13-1
Hence, the required final answer is 3+13-1.

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