SOLUTION: Evaluate the following Inverse Trigonometric Function. a. 𝑠𝑖𝑛−1 (−1) b. 𝑡𝑎𝑛−1 (−1)

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Question 1195257: Evaluate the following Inverse Trigonometric Function.
a. 𝑠𝑖𝑛−1 (−1)
b. 𝑡𝑎𝑛−1 (−1)
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.

D U P L I C A T E

Just solved, answered and explained under this link

https://www.algebra.com/algebra/homework/playground/test.faq.question.1195258.html



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
a.
sin%5E-1+%28-1%29
use the property sin%5E-1%28-1%29=++-sin%5E-1%281%29
The range of arcsin is defined as between -pi%2F2 radians and pi%2F2 radians.
sin%5E-1+%28-1%29=+-sin%5E-1+%281%29=-pi%2F2

b.
tan%5E-1+%28-1%29

Use the following property: tan%5E-1%28-x%29=+-tan%5E-1%28x%29
-tan%5E-1+%281%29=-pi%2F4