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Chapter 7: Q. 47 (page 474)

In problems 19-98, establish each identity.

1+sin胃1-sin胃=csc胃+1csc胃-1

Short Answer

Expert verified

We have proved the identity1+sin胃1-sin胃=csc胃+1csc胃-1.

Step by step solution

01

Step 1. Given information.

We have:

1+sin胃1-sin胃=csc胃+1csc胃-1

02

Step 2. Establish the identity.

Take the left hand side:

1+sin胃1-sin胃

Apply identity: role="math" localid="1646759273027" sin胃=1csc胃

role="math" localid="1646759305309" =1+1csc胃1-1csc胃=csc胃+1csc胃csc胃-1csc胃=csc胃+1csc胃-1

Hence, proved.

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