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Q 88.

Precalculus Mathematics for Calculus
Found in: Page 544
Precalculus Mathematics for Calculus

Precalculus Mathematics for Calculus

Book edition 7th Edition
Author(s) James Stewart, Lothar Redlin, Saleem Watson
Pages 948 pages
ISBN 9781337067508

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Short Answer

Proving Identities

Verify the identity secu1secu+1=tanusinutanu+sinu

The expression secu1secu+1=tanusinutanu+sinu is an identity.

See the step by step solution

Step by Step Solution

Step 1. Given information

An expression secu1secu+1=tanusinutanu+sinu

Step 2. Concept used

For such a query, divide the expression into two halves, LHS and RHS. Separate them and make them simpler. If two outcomes are identical, it's an identity.

Step 3. Calculation

Now, simplify LHS of secu1secu+1=tanusinutanu+sinu

We can use identity as sec(u)=1cos(u),


Multiply and divide by sinu


Now multiply and divide by 1cosu


RHS of the equation is tanusinutanu+sinu

Both RHS and LHS are equal. Hence it is an identity

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