CLASS12: INVERSE TRIGO FUNCTION

INVERSE TRIGO FUNCTION

YEAR QUESTIONS

1,Write the value of

tan-1 (√3) – cot-1 (- √3). (All India 2019,13)

2. Find the principal value of

tan-1√3 – sec-1 (- 2). (CBSE 2018 C; All India 2012)

3.If

sin (sin-1

15 + cos-1x) = 1, then find the value of x. (Delhi 2014)

4. If tan-1x + tan-1 y =

π4; xy < 1, then write the value of x + y + xy. (All India 2014)

5. Write the value of cos-1

(−12) + 2 sin-1(12). (Foreign 2014)

6. Write the value of

tan-1[2sin(2cos−13√2)]. (All India 2013)

7.Write the value of sin

[π3−sin−1(−12)] (Delhi 2011)

8.Solve for X,

tan-1 (x + 1) + tan-1 (x – 1) = tan-1831. (All India 2019,15)

9. Solve for x, tan-1 3x + tan-1 2x = π4. (Delhi 2019. 2015, 2013C)

10. If tan-1x−3x−4 + tan x+3x+4=π4, then find the value of x. (All India 2017)

CLASS12