Inverse Trigonometric Functions — practice questions
9 curated practice questions from Inverse Trigonometric Functions (Mathematics Class 12, CBSE) — 6 hard, 3 medium. Every question includes the final answer free; step-by-step worked solutions with a free account.
- The given graph (passing through points (- 1 5 , ) and ( 1 5 , 0 ) with y -axis intercept 2 ) shows:
- Prove that ^ -1 ( y b^2 - y^2 ) = ^ -1 ( y b ) , -b y b .
- Assertion (A): If , are the roots of the equation 6( ^ -1 x)^2 - ^ -1 x - ^2 = 0 , then + = 2 - 3 2 . Reason (R): ^ -1…
- The value of [ ^ -1 ( ( ^ -1 ( -1 2 ) ) ) ] is:
- Find the domain and principal value branch of y = 2 ^ -1 (3x) .
- Assertion (A): cosec ^ -1 [ cosec ( 5 6 ) ] = 6 . Reason (R): The principal value range of cosec ^ -1 x lies in (- 2 …
- Prove that ^ -1 ( cosec x x cosec x + x ) = 4 - x 2 where - 2 x 2 .
- Find the principal value of ^ -1 2 3 ( 9 2 ^ -1 1 2 ) .
- Prove: ^ -1 ( 1+ x + 1- x 1+ x - 1- x ) = 4 + x 2 , 0 x 2 .