Rearrange the terms to group similar expressions. Move the (1)/( x + x) term to the LHS and the (1)/( x) term to the RHS.

April 24, 2026Mathematics

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April 24, 2026

Answer

\frac{1}{\cos x} - \frac{1}{\sec x + \tan x}$

You're right, Rajnish! My apologies, the previous response was cut off. Let's finish question 30 and then tackle question 31.

30. Prove that $\frac{1}{\sec x - \tan x} - \frac{1}{\cos x} = \frac{1}{\cos x} - \frac{1}{\sec x + \tan x}$

Step 1: Rearrange the terms to group similar expressions. Move the $\frac{1}{\sec x + \tan x}$ term to the LHS and the $\frac{1}{\cos x}$ term to the RHS.

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You're right, Rajnish! My apologies, the previous response was cut off. Let's finish question 30 and then tackle question 31.

Asked on April 24, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 24, 2026

You're right, Rajnish! My apologies, the previous response was cut off. Let's finish question 30 and then tackle question 31. 30. Prove that (1)/( x - x) - (1)/( x) = (1)/( x) - (1)/( x + x) Step 1: Rearrange the terms to group similar expressions. Move the (1)/( x + x) term to the LHS and the (1)/( x) term to the RHS. (1)/( x - x) + (1)/( x + x) = (1)/( x) + \