MEDIUM
JEE Main
IMPORTANT
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x, y, zR are such that they satisfy x+y+z=1 and tan-1x+tan-1y+tan-1z =π4, then the value of x3+y3+z3-3 is

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Important Questions on Inverse Trigonometric Functions

MEDIUM
JEE Main
IMPORTANT
The complete set of values of a for which the function fx=tan-1x2-18x+a>0; xR
MEDIUM
JEE Main
IMPORTANT
The value of secsin-1-sin50π9+cos-1cos-31π9 is equal to
MEDIUM
JEE Main
IMPORTANT
The maximum value of the function fx=sin-1sinx2-sin-1sinx
HARD
JEE Main
IMPORTANT
Let fx=cos-11-tan2x21+tan2x2, then which of the following statement is/are true?
HARD
JEE Main
IMPORTANT
If fx=sin-1sinx, gx=cos-1(cosx) and hx=cot-1cotx, then which of the following is/are correct?