Which of the following is correct? (1) `tan1> tan2` (2) `tan2>tan1` (3) `sin1cos2` (4) `cos3>cos2`

Which of the following is/are correct? tan[cos^(-1)4/5+tan^(-1)2/3]=(17)/6 cos[tan^(-1)1/3+tan^(-1)1/2]=1/(sqrt(2))

Which of the following is/are correct? tan[cos^(-1)(4)/(5)+tan^(-1)(2)/(3)]=(17)/(6)cos[tan^(-1)(1)/(3)+tan^(-1)(1)/(2)]=(1)/(sqrt(2))cos2tan^(-1)((1)/(3))+cos(tan^(-1)2sqrt(2))=(14)/(15)cos[2cos^(-1)(1)/(5)+sin^(-1)(1)/(5)]=-(2sqrt(6))/(6)

Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-1)(2/3)) cos(pi/2-sin^(-1)(3/4)) (log)_2("sin"(1/4)sin^(-1)(63/8)] tan(1/2cos^(-1)(sqrt(5)/3))

Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-1)(2/3)) cos(pi/2-sin^(-1)(3/4)) (log)_2("sin"(1/4)sin^(-1)(63/8)] tan(1/2cos^(-1)(sqrt(5)/3))

Which of the following is/are a rational number? sin(tan^(-1)3+tan^(-1)(1/3)) cos(pi/2-sin^(-1)(3/4)) (log)_2("sin"1/4sin^(-1)(63/8)] tan(1/2cos^(-1)(sqrt(5)/3))

Which of the following is not a rational number. a. sin (tan^(-1) 3 + tan^(-1).(1)/(3)) b. cos ((pi)/(2) - sin^(-1).(3)/(4))

tan A=(1)/(2),tan B=(1)/(3), then cos2A is

Prove the following: tan^(-1)(1/4)+tan^(-1)(2/9)=1/2cos^(-1)(3/5)

If /_A=30^(@), verify each of the following (i)sin2A=(tan A)/(1+tan^(2)A)(ii)cos A=(1-tan^(2)A)/(1+tan^(2)A)

(1 + tan A) / (1-tan A) = (cos2A) / (1-sin2A)