Download The Inverse Trig Functions

Algebra &Trigonometry
Sullivan & Sullivan, Fourth Edition
§ 7.2
The Inverse Trig Functions
Inverse sine / cosine
Make sure that you pay careful attention to which quadrant the angle is in!

3
1) Evaluate sin1    without using the calculator.
 2 
1
2) Evaluate cos 1    without using the calculator.
 2
3) Evaluate tan1 (1) without using the calculator.
Composition with Inverse sine / cosine
Be able to evaluate the inverse of sine, cosine by hand, without a calculator
   
4) Evaluate cos 1 sin     without using the calculator.
4



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Algebra &Trigonometry
Sullivan & Sullivan, Fourth Edition

 3 
 
 2  
5) Evaluate sin cos 1 


 17  
 
 9  
6) Evaluate cos sin1 

§ 7.2
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without using the calculator.
without using the calculator.
Inverse of csc / sec / cot
Be able to evaluate the inverse of the remaining trig functions by hand, without a calculator
7) Evaluate sec 1   2  without using the calculator.
2 3 
8) Evaluate csc 1 
 without using the calculator.
 3 
 3
9) Evaluate cot 1   without using the calculator.
 3 
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Algebra &Trigonometry
Sullivan & Sullivan, Fourth Edition
§ 7.2
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Inverse of csc / sec / cot
Be able to evaluate the inverse of the remaining trig functions using a calculator
10) Evaluate sec 1  9 using the calculator.
11) Evaluate csc 1  5  using the calculator.
 
12) Evaluate cot 1 5 using the calculator.
13) Evaluate sec 1 .5 using the calculator.
14) Evaluate csc 1 .5 using the calculator.
15) Evaluate cot 1 .5 using the calculator.
16) What are the restrictions on the domain of y  csc 1 x  ?
On the domain of y  sec 1 x  ?
On the domain of y  cot 1 x  ?
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Algebra &Trigonometry
Sullivan & Sullivan, Fourth Edition
§ 7.2
Composition with Inverse Trig Functions
17) Evaluate sec cot 1  3  without using the calculator.



 

 
18) Evaluate csc 1 sec    without using the calculator.
3
19) Evaluate csc 1 sec.5 without using the calculator.

 1 
20) Evaluate tan  cos 1    without using the calculator.
 3 



21) Evaluate csc tan 1  2 without using the calculator.
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