Use trigonometric identities to simplify the expression.1cot2(x)+tan(x)tan(π2−x)
Question
Solution 1
Sure, let's simplify the expression step by step using trigonometric identities.
Given expression is: 1/cot^2(x) + tan(x)tan(π/2−x)
Step 1: Convert cot^2(x) to tan^2(x). We know that cot(x) = 1/tan(x), so cot^2(x) = 1/tan^2(x). Therefore, the expression becomes:
1/(1/tan^2(x)) + tan(x)tan(π/2−x)
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