Which of the following angles is greater? `theta_1=sin^(-1)(4/5)+sin^(-1)(1/3)ortheta_2=cos^(-1)(4/5)+cos^(-1)(1/3)`

Which of the following angles is greater ? theta_(1) = sin^(-1).(4)/(5) + sin^(-1).(1)/(3) and theta_(2) = cos^(-1).(4)/(5) + cos^(-1).(1)/(3)

Prove that: sin^(-1)(-4/5)=tan^(-1)(-4/3)=cos^(-1)(-3/5)-pi

If alpha = sin^(-1)(sqrt(3)/2)+sin^(-1)(1/3) , beta =cos ^(-1)(sqrt(3)/2)+cos^(-1)(1/3) then

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Prove that: sin^(-1)((63)/(65))=sin^(-1)(5/(13))+cos^(-1)(3/5)

Which of the following quantities is/are positive ? a. cos (tan^(-1) (tan 4)) b. sin(cot^(-1)(cot 4)) c. tan (cos^(-1) (cos 5)) d. cot(sin^(-1) (sin 4))

Evaluate: cos(sin^(-1)3/5+sin^(-1)5/(13))

cos("sin"^(-1)(1)/(2)+"cos"^(-1)(1)/(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))