Will someone please help me with these two Pre Calculus questions?

Question

The expression tanX+1/1-tanX can be rewritten as which of the following?

A. tan (x - (5π/4))

B. tan (x + (3π/4))

C. tan (x + (7π/4))

D. tan (x - (7π/4))

What is the exact value of sin(195°)?

A. (√2 + √6)/4

B. (√6 - √2)/4

C. (√2 - √6)/4

D. (√6 - √3)/4

Answer 1

tan(x + 5 π/4) = (tanx + tan 5π/4) / (1 - tanxtan(5π/4)) = (tanx + 1) / (1 - tanx)

sin195 = sin(135 + 60) = sin135cos60 + cos135sin60 = (√2/2)(√3/2) - (√2/2)(1/2) = (√6 - √2) / 4

Answer 2

195 degrees equals 180 degrees plus 15 degrees..

Use Half Angle and Sum formulas to calculate.