Determine the exact value for:   sec 7π     +sin   3π         6                  4         csc   π                  6   Please write clearly thank you.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine the exact value for:
 
sec 7π     +sin  
        6                  4
        csc   π
                 6
 
Please write clearly thank you.
Expert Solution
Step 1

Given expression is sec7π6+sin3π4cscπ6.

We have to find the exact value of the given expression.

Since, 7π6=π+π6 and 3π4=ππ4

Hence, sec7π6+sin3π4cscπ6=secπ+π6+sinππ4cscπ6

Use formula secπ+θ=secθ and sinπθ=sinθ

Hence, sec7π6+sin3π4cscπ6=secπ6+sinπ4cscπ6

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