Please evaluate the expression: a)arcsin 1/2 b)arccos 1/2 c)arctan (sqrt3)/(3)

Shyla Odom

Shyla Odom

Open question

2022-08-25

Please evaluate the expression without the use of a calculator:
a ) arcsin 1 2 b ) arccos 1 2 c ) arctan 3 3

Answer & Explanation

Darren Maxwell

Darren Maxwell

Beginner2022-08-26Added 13 answers

Given,
a) arcsin 1 2
Now,
arcsin 1 2 = sin 1 ( 1 2 ) Let,  x = sin 1 ( 1 2 ) sin ( x ) = 1 2 sin ( x ) = sin ( π 6 ) x = π 6 arcsin 1 2 = π 6
b) arccos 1 2
Now,
arccos 1 2 = cos 1 ( 1 2 ) Let,  x = cos 1 ( 1 2 ) cos ( x ) = 1 2 cos ( x ) = cos ( π 3 ) x = π 3 arccos 1 2 = π 3
Gustavo Zimmerman

Gustavo Zimmerman

Beginner2022-08-27Added 14 answers

There answer:
c) arctan 3 3 = tan 1 ( 3 3 ) Let,  x = tan 1 ( 3 3 ) tan ( x ) = 3 3 tan ( x ) = tan ( 1 3 ) tan ( x ) = tan π 6 x = π 6 arctan 3 3 = π 6

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