Given that cos A= 3/2 cosB= 24/25 where A and B are acute find the exact values of

a) tan A

b) sin B

c) cos (A-B)

d) tan(A+B)

could any show me how these questions are solved?

Thank you.

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Ok, Oasis1993, that helps.

Since Cos A = 3/5, this means that x = 3 and r = 5. Solve for y in the following equation:

$\displaystyle r^2=x^2+y^2$

(a) $\displaystyle \tan A = \frac{y}{x}$

Since Cos B = 24/25, this means that x = 24 and r = 25. Solve for y in the following equation:

$\displaystyle r^2=x^2+y^2$

(b) $\displaystyle \sin B = \frac{y}{r}$

For (c) and (d), use your sum-difference formulas using the information you are given and the information you found.