IGNOU MTE 4 2018 - Prove that

Question

Prove that Image ignouacademy-com--p-prove-28419

02 Feb 2018

Answer :

Word Count : 292

To prove the given expression: \[ \frac{1}{1 + \tan^2 \theta} + \frac{1}{1 + \cot^2 \theta} = 1 \] we will simplify the left-hand side (LHS) step by step and show that it equals the right-hand side (RHS), which is 1. ### Step 1: Recall Trigonometric Identities We know the following trigonometric identities: 1. \(\tan \theta = \frac{\sin \theta}{\cos \theta}\) 2. \(\cot

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