CBSE Maths: Class 12 Inverse Trigonometric Functions Revision Notes

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We know that if the function is bijective the inverse of a function exists.

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[{"selector":"#anim-6d552cf3-f57c-4565-bb73-e14abd344f82","keyframes":{"transform":["translate3d(115.55555%, 0px, 0)","translate3d(0px, 0px, 0)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-4c8bf804-c85a-46e0-b0d7-80b8ed7e5212","keyframes":{"opacity":[0,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"both"}] [{"selector":"#anim-84a3806e-79f4-4d76-a82a-3002b59bf303","keyframes":{"transform":["scale(0.15)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(0.4, 0.4, 0.0, 1)","fill":"forwards"}] Let us highlight some important points about inverse trigonometric functions that we can use to revise while preparing for the exams.

First list out the Domain and Range for all inverse trigonometric functions such as:

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Now, draw graphs for all the mentioned inverse trigonometric functions and keep memorising them every now and then.

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Property I

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Property II

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Property III

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Property IV

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Property V

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Property VI

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Property VII

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[{"selector":"#anim-1418f296-40c9-424b-95bc-1362235a8c40","keyframes":{"opacity":[1,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-1eaccbf9-8810-4a69-b7d1-a2bf1239217d","keyframes":{"transform":["scale(3)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] At the end of the chapter, list out all remaining additional formulas and revise them at least once or twice in a week so that you don’t forget them.

[{"selector":"#anim-a9a25942-a281-436a-9c45-d0dbdc6b8b53","keyframes":{"opacity":[1,1]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"both"}] [{"selector":"#anim-0070fadf-034c-4591-ba2d-eab2d8077ff7","keyframes":{"transform":["scale(3)","scale(1)"]},"delay":0,"duration":1300,"easing":"cubic-bezier(.3,0,.55,1)","fill":"forwards"}] All the above notes are some quick headings for core topics in the chapter. Share these with your friends and let them also get benefitted.