Explanation: cot^-1x=tan^-1 (1/x) Let y=cot^-1x, then by definition of inverse. x=coty. x=1/tany. xtany=1. tany=1/x. Q 2. Prove the following: sin−1x+sin−1y+sin−1z =π Show that x√1−x2 +y√1−y2 +z√1−z2 = xyz. View Solution. Q 3. Find the value of the following: tan1 2[sin−1 2x 1+x2 +cos−1 1−y2 1+y2],|x| < 1,y > 0 and xy
Step by step video & image solution for If [sin^-1x]+[cos^-1x]=0, where 'x' is a non negative real number and [.] denotes the greatest integer function, then complete set of values of x is - (A) (cos1 ,1) (B) (-1, cos1) (C) (sin1 , 1) (D) (cos1 , sin1) by Maths experts to help you in doubts & scoring excellent marks in Class 12 exams.
The term ”function” is related to describing the association between two sets of numbers/variables. The double of an inverse trigonometric function can be cracked to construct a single trigonometric function with the help of the below-listed formulas: S.No. Functions. 1. 2tan − 1x = sin − 1( 2x 1 + x2) 2.
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Cos-1 x is neither an odd nor an even function and it falls in the range of (0,π) The maximum value of cos-1 x is π, and it lies at x = -1. The minimum value of cos-1 x is 0, and it lies at x = 1. Cos-1 x is a function that is decreasing in its domains. Cos-1 x is also a periodic function. 3. ArcTan x
A formula for computing the trigonometric identities for the one-third angle exists, but it requires finding the zeroes of the cubic equation 4x 3 − 3x + d = 0, where is the value of the cosine function at the one-third angle and d is the known value of the cosine function at the full angle. 0l3TqAt.
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    • sin 1x cos 1x formula