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# Solve for x (log)

log x^log x + log x^2 =  8

# Family of polynomials

Find two unique functions that satisfy the conditions P(-4) = P(-3/4) = P(1/2) = 0 and p(-2) = 60 Family of polynomials

# Trig Equation

sec^2 x - tan ^4 x = 3              Solve for x

# Find the points of intersections for the functions f(x)= x/6 and g(x) = cosx

How can you do this without plugging it into a graphing caculator?

# Solve the Trigonometry Identity

cosx = (1- tan^2 x/2)  /  1 + tan^2 x/2) Completely stuck.

# Trig Identities

Explain how you could determine the exact value of (sec 7pi/6) if you know the value of (sin 11pi/6). Prove with diagrams. I've no idea how to do this question that's worth 10 marks...

# Trig Identities

Prove 1 - sin2x / cosx = sin2x / 2sinx I tried do both LHS and RHS. Got stuck after a step or two.

# Trig Identities

Prove sec2x = 1 + tan2x I did R.H.S = 1 + sin2x / cos2x = 1 + (1 - cos2x) / (1 - sin2x) = 1 + cot2x = ??? I think I'm doing it right,...