Use basic identities to simplify the expression. sin2θ + tan2θ + cos2θ (6 points)

Verify the identity.tan = -cot x (7 points) 

Find all solutions in the interval [0, 2π). tan x + sec x = 1 (5 points)

Find the inverse of the function. f(x) = x3 – 7 (5 points)

Find the exact value of the composition. (5 points) arcos[sin ]

Use basic identities to simplify the expression. sin2θ + tan2θ + cos2θ (6 points)

Perform the requested operation or operations. f(x) = ; g(x) = 7x + 8, find g(f(x)). (5 points)

Describe how the graph of y= x2 can be transformed to the graph of the given equation. y = x2 – 12 (5 points)

Describe how to transform the graph of f into the graph of g. (5 points) f(x) = and g(x) =

State the horizontal asymptote of the rational function. (5 points)f(x) =