Evaluate the expression?

Question

1) tan[(sin^-1(9/13))]

2) sin[(cos^-1(7/11))]

can this be done without a calculator? how do i do this?

Answer 1

Yes, draw the triangles for arcsin (9/13) and arccos (7/11) and then read off the required answers....1st has hypotenuse 13, opposite side 9 and adjacent side √88...tan Θ = 9/√88....2nd has hypotenuse 11, adjacent 7 and opposite √72

Answer 2

yes it can.

first solve the equationin the brackets.

so...

press the 2nd key and then sin/^/-/1(9/13) then get ur answer and then press tan and then enter the answer from the prevoius one. and then get ur final answer....its very simple...just work ur way out.

for future refrence....sin-1 is an arch sign of sin