A) Find the exact value of the trigonometric expression given
that sin(u) = -3/5 where 3π/2 < u < 2π and
cos(v) = 15/17, where 0 < v < π/2.
sin(u+v)
B) Find the exact value of the trigonometric expression given
that sin(u) = -3/5 where 3π/2 < u < 2π and
cos(v) = 15/17, where 0 < v < π/2.
tan(u+v)
C) Find the exact value of the trigonometric function given
that sin(u) = -5/13 and cos(v) = -3/5 (Both u and v
are in Quadrant 3). sec(v-u)
D) Write the trigonometric expression as an algebraic
expression. sin(arctan(7x) - arccos(x))
E) Write the trigonometric expression as an algebraic
expression. cos(arccos(7x) - arctan(2x))
F) Verify the identity. (Simplify at each step.) sin(5π/2 + x) = cos(x)
G) Verify the identity. (Simplify at each step.) cos(5π/4 - x) = -√2/2(cos(x) + sin(x))