If sin sin–1x x then
Web9 feb. 2024 · The correct option is (c) i.e -x/y differentiating sin^-1 x +sin^-1 y= π/2 w.r.t 'x' we get, (1/√1-x²)+ (1/√1-y²) dy/dx =0 dy/dx = - (√1-y²)/ (√1-x²).... (i) we know, sin^-1 y= π/2 - sin^-1 x sin^-1 y= cos^-1 x sin^-1 y= sin^-1 √1-x² we get, y= √1-y² similarly for sin^-1 x we get, x= √1-y² therefore dy/dx from eq. (i) we get -x/y dy/dx = -x/y WebThe simplified expression of sin (tan -1 (x)) for any real number x is given by Answer Advertisement 9. is equal to 0 tan (t) 1 sin (t) cos (t) Answer 10. In a triangle ABC, the …
If sin sin–1x x then
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Web9 feb. 2024 · If sin^-1x + sin^-1 y + sin^-1z = π, then prove that: x√(1 - x^2) + y√(1 - y^2) + z√(1 - x^2) = 2xyz asked Apr 14, 2024 in Inverse Circular Functions by PritiKumari ( … WebWe calculate sin of sin inverse of x using its definition mentioned in the previous section. So to calculate sin (sin -1 x), See whether x lies in the interval [-1, 1]. If so, sin (sin -1 x) = x. …
WebSolution The correct option is B sin 2 θ + cos 2 β Explanation for the correct option. Given that, sin - 1 ( x) = θ + β and sin - 1 ( y) = θ - β. ⇒ x = sin ( θ + β) and y = sin ( θ - β) 1 + x y = 1 + sin ( θ + β) sin ( θ - β) 1 + x y = 1 + sin 2 θ - sin 2 β Using the identity, sin 2 A + cos 2 A = 1. 1 + x y = sin 2 θ + cos 2 β WebClick here👆to get an answer to your question ️ If - 1 < x< 0 then sin^-1 x equals. Solve Study Textbooks Guides. Join / Login. ... If 3 tan − 1 x + cot − 1 x = π, then x equals : …
Web3 jan. 2024 · If f (x) = sin−1x, then f′ (√3/2)= ? See answers Advertisement Cricetus The value of " " will be " 2 ". Given that: We know that, → Now, → then, → By opening the … WebIf (sin-1x)2 (cos-1x)2 = a ; 0 < x < 1, a ≠ 0, then the value of 2x2 – 1 is : (1) cos (4a π 4 a π) (2) sin (2a π 2 a π) (3) cos (2a π 2 a π) (4) sin (4a π 4 a π) jee jee main jee main 2024 …
WebIf Y = (Sin−1 X)2, Then (1 − X2)Y2 is Equal to (A) Xy1 + 2 (B) Xy1 − 2 (C) −Xy1+2 (D) None of Theseb - Mathematics Shaalaa.com Department of Pre-University Education, Karnataka PUC Karnataka Science Class 12 Textbook Solutions 13651 MCQ Online Mock Tests 17 Important Solutions 994 Question Bank Solutions 10088 Concept Notes & Videos 386 …
Web24 nov. 2024 · If y = Asinx + Bcos x, then prove that (i) y2 + y = 0 (ii) yn+2 + yn = 0. asked Nov 24, 2024 in Limit, continuity and differentiability by SumanMandal ( 54.9k points) … face off gymnastikWeb10 mrt. 2024 · If sin−1x a = cos−1x b = tan−1y c; s i n − 1 x a = c o s − 1 x b = t a n − 1 y c; 0 < x < 1, then the value of cos (πc a+b π c a + b) is jee jee main jee main 2024 Please … does sears haul away old refrigeratorWebIf y = sin –1 x, then (1 – x 2)y 2 is equal to `underline(bb(xy_1))`. Explanation: y = sin –1 x `(dy)/(dx) = 1/sqrt(1 - x^2)` ⇒ `sqrt(1 - x^2) . (dy)/(dx)` = 1. Again, differentiating both … face off game showWeb18 aug. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and … faceoff gurgaonWebIf ( sin - 1 x) a = ( cos - 1 x) b = ( tan - 1 y) c; 0 < x < 1, then the value of cos π c a + b is: A 1 - y 2 2 y B 1 - y 2 1 + y 2 C 1 - y 2 D 1 - y 2 y y Solution The correct option is B 1 - y 2 1 + y 2 Explanation for the correct option. Step 1: Finding the value of ( a + b) Given that, ( sin - 1 x) a = ( cos - 1 x) b = ( tan - 1 y) c; 0 < x < 1 does sears have a layaway planWebIf y = sin –1 x, then (1 – x 2 )y 2 is equal to x y 1. Explanation: y = sin –1 x d y d x = 1 1 - x 2 ⇒ 1 - x 2. d y d x = 1 Again, differentiating both sides w. r. to x, we get 1 - x 2 d 2 y d x 2 + d y d x. ( - 2 x 2 1 - x 2) = 0 Simplifying, we get (1 – x 2 )y 2 = xy 1 Concept: Derivatives of Inverse Trigonometric Functions face off gustavo fringWebAbout Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ... face off gus