Direction: Find the values of the following and construct a graph. Show your solution.1. Arcsin -2. Arccsc {-/2}2/33. Arctan (-1}4. Arsec35. Arccot {-3}6. Arccsc {-1}

(a) To find value of sin-1-12. We know that sin-1-x=-sin-1x Solving the given expression,…

Answered: 1. Arcsin

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 58E

See similar textbooks

Related questions

Question

Direction: Find the values of the following and construct a graph. Show your solution.
1. Arcsin -
2. Arccsc {-/2}
2/3
3. Arctan (-1}
4. Arsec
3
5. Arccot {-3}
6. Arccsc {-1}

Expert Solution

Step 1

(a) To find value of $\sin^{- 1} (- \frac{1}{2})$ .

We know that $\sin^{- 1} (- x) = - \sin^{- 1} (x)$

Solving the given expression,

$\begin{array}{rcl} \sin^{- 1} (- \frac{1}{2}) & = & - \sin^{- 1} (\frac{1}{2}) \\ = & - \frac{π}{6} \end{array}$

Therefore, required value is $\frac{- π}{6}$ .

Step 2

The graph of the function $y = \sin^{- 1} (- \frac{1}{2})$ is as follows:

Step 3

(b) To find value of $\csc^{- 1} (- \sqrt{2})$ .

We know that $\csc^{- 1} (- x) = - \csc^{- 1} (x)$

Solving the given expression,

$\begin{array}{rcl} \csc^{- 1} (- \sqrt{2}) & = & - \csc^{- 1} (\sqrt{2}) \\ = & - \frac{π}{4} \end{array}$

Therefore, required value is $\frac{- π}{4}$ .

Step by step

Solved in 6 steps with 3 images

Knowledge Booster

$Indefinite Integral$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, trigonometry and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Holt Mcdougal Larson Pre-algebra: Student Edition…

Algebra

ISBN:

9780547587776

Author:

HOLT MCDOUGAL

Publisher:

HOLT MCDOUGAL

SEE MORE TEXTBOOKS