Given that sin(x)= \$3/5\$ and cos(y)= \$7/25\$, find the exact value of
tan(x + y).

A) \$ - 171/44 \$

B) \$ - 113/28 \$

C) \$ - 111/28 \$

D) \$ - 117/44 \$

If sin \$ \theta = 3/5\$ and \$ \theta\$ are in Quadrant II, find the values of cos(\$ \theta\$ ) and tan(\$ \theta\$ ).

A) \$ - 4/5\$, \$ - 3/7\$

B) \$ 5/4\$, \$ - 4/3\$

C) \$ - 4/5\$, \$ - 3/4\$

D) \$ - 4/3\$, \$ 3/7\$

Evaluate \$(1+ cos\theta -sin^2(\theta))/(sin\theta(1+ cos\theta))\$.

A) \$-cot(\theta)\$

B) \$tan(\theta)\$

C) \$cot(\theta)\$

D) \$-tan(\theta)\$

In the given figure, BC: AC = 3:4 and perimeter of △ABC = 60 cm. Determine AC, CD, and BA.

A) AC = 20 cm , CD = 30 cm and BA = 25 cm

B) AC = 25 cm , CD = 30 cm and BA = 20 cm

C) AC = 30 cm , CD = 20 cm and BA = 25 cm

D) AC = 20 cm , CD = 25 cm and BA = 30 cm

If the combined value of A and B is \$π/2\$, find the value of \$(1-sin^2(A)) (1-cos^2(A)) \times (1 + cot^2(B)) (1+ tan^2(B))\$.

A) 2

B) -1

C) -2

D) 1