Considering only the principal values of the inverse trigonometric functions, the value of tan ( sin − 1 ( 5 3 ) − 2 cos − 1 ( 5 2 ) ) is

Question

Considering only the principal values of the inverse trigonometric functions, the value of tan ( sin − 1 ( 5 3 ​ ) − 2 cos − 1 ( 5 ​ 2 ​ ) ) is

TestHub · Accepted Answer

​ ⇒ tan ( tan − 1 ( 4 3 ​ ) − 2 tan − 1 ( 2 1 ​ ) ) ⇒ tan ( tan − 1 ( 4 3 ​ ) − tan − 1 ( 1 − 4 1 ​ 2 × 2 1 ​ ​ ) ) ⇒ tan ( tan − 1 ( 4 3 ​ ) − tan − 1 ( 3 4 ​ ) ) ⇒ tan ( tan − 1 ( 1 + 1 4 3 ​ − 3 4 ​ ​ ) ) ⇒ 24 9 − 16 ​ = 24 − 7 ​ ​

Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

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JEE Main - 1 year (12th class)

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