How do you find the exact value of tan ⁡ ( sin − 1 ⁡...

Lillie Pittman

Lillie Pittman

Answered

2022-07-17

How do you find the exact value of tan ( sin 1 ( 0.1 ) )?

Answer & Explanation

bardalhg

bardalhg

Expert

2022-07-18Added 15 answers

Let θ = sin 1 ( 0.1 ) sin ( θ ) = 0.1 = 1 10 = O p p o s i t e H y p o t e n u s e = 10
By Pythagorean Theorem,
( A d j a c e n t ) = 10 2 1 2 = 99 = 3 11
Hence,
tan ( sin 1 ( 0.1 ) ) = tan θ = O p p o s i t e A d j a c e n t = 1 3 11

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