Write tan^(-1)(3/4) + tan^(-1)(1/9) as a single inverse tangent.
tan^(-1)(3/4) + tan^(-1)(1/9) को single inverse tangent में लिखिए।
Show answer and explanation
A. tan^(-1)(31 / 33)
ExplanationStep 1: use tan^(-1)x+tan^(-1)y = tan^(-1)((x+y)/(1-xy)). Step 2: substituting the values gives the fraction 31/33. Step 3: tip: the denominator is 1-xy, not 1+xy.
Step 1: formula tan^(-1)x+tan^(-1)y = tan^(-1)((x+y)/(1-xy)) लगाइए। Step 2: values रखने पर fraction 31/33 मिलता है। Step 3: tip: denominator 1-xy होता है, 1+xy नहीं।