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Inverse Function Graph
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Tutorial
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Draw the graph of 𝑓(𝑥)=𝑠𝑖𝑛^(−1) 𝑥, 𝑥∈[−1/√2, 1/√2]. Also, write range of f(x). #trigonometry
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Draw the graph of 𝑓(𝑥)=𝑠𝑖𝑛^(−1) 𝑥, 𝑥∈[−1/√2, 1/√2]. Also, write range of f(x). #trigonometry
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Q) If 𝑠𝑖𝑛 𝑐𝑜𝑡^(−1) (𝑥+1)]=𝑐𝑜𝑠(tan^(−1) 𝑥), 𝑡ℎ𝑒𝑛 𝑓𝑖𝑛𝑑 𝑥.#class12maths #shivang
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Q) Simplify :sin^(−1) (5/13 cos𝑥+12/13 sin𝑥)#class12maths #shivangmathsacademy #cbsemaths
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Here is a simple way to check that a function is indeed the inverse function. If you take an output from the original function and plug it into the inverse function, it should give you back the original input that you entered into the original function. Mathematically, this means that if f(x)=y, where x is the input and y is the output, then g(y)=x when g is your inverse function. This means that f(g(x))=x and g(f(x))=x, showing that the a function and its inverse cancel eachother out. #InverseF
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