If the numerical value of tan ( cos -1((4/5))+ tan -1((2/3))) is (a/b) then (where a, b are coprime)

Question

If the numerical value of tan ( cos -1((4/5))+ tan -1((2/3))) is (a/b) then (where a, b are coprime) (A) a+b=23 (B) a-b=11 (C) 3 b = a +1 (D) 2 a =3 b

Tardigrade Admin · Accepted Answer

Correct answer is (a) a+b=23Correct answer is (b) a-b=11Correct answer is (c) 3 b = a +1

Q. If the numerical value of $tan (cos^{- 1} (\frac{4}{5}) + tan^{- 1} (\frac{2}{3}))$ is $\frac{a}{b}$ then (where $a, b$ are coprime)

$a + b = 23$

$a - b = 11$

$3 b = a + 1$

$2 a = 3 b$

Correct answer is (a) $a + b = 23$ Correct answer is (b) $a - b = 11$ Correct answer is (c) $3 b = a + 1$

Q. If the numerical value of tan(cos−1(54​)+tan−1(32​)) is ba​ then (where a,b are coprime)

a+b=23

a−b=11

3b=a+1

2a=3b