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SubjectsMathematics
प्रतिलोम त्रिकोणमितीय फलनों का परिचय
This Class 12 Mathematics topic introduces inverse trigonometric functions as the functions that reverse the action of sine, cosine, and tangent on suitably restricted domains. Students learn the meaning of sin⁻¹x, cos⁻¹x, and tan⁻¹x, along with their principal values, domains, and ranges. The topic also develops understanding of how these functions are represented, how their restrictions make them well-defined, and how to interpret basic relationships and expressions within the chapter on Inverse Trigonometric Functions.
TOPIC PRACTICE
Up to 1 questions from this page. Select your focus, then start.
The value of \(\sin^{-1}x\) always lies in \(\left[-\frac{\pi}{2},\frac{\pi}{2}\right]\), where \(\sin x\) is one-one. The interval \([0,\pi]\) is the principal value range of \(\cos^{-1}x\), not inverse sine. Exam tip: memorise the standard principal ranges of inverse trigonometric functions.
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