need help with maths questions (ASAP) please!!

ghost616

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Nov 17, 2014
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1. State the remainder theorem

2. State the factor theorem

3. Solve the following simultaneous equations:
a. logx y = 2 and xy = 8

b. 2lg y = lg2 + lg x and 2^y = 4^x

4. Prove the following trig identities
a. sin θ + sin 2θ + sin 3θ ≡ sin 2θ(1 + 2cos θ)

b. 1 – cos 2t = 2cot2 t/sin2 t

c. (tan 2x)(1 + tan x)/tanx = 2/(1 – tan x)

5. Solve the following equations giving angles within the range 0° to 360°
a. sin 2x + cos x = 0

b. 5 cos x sin 2x + 4 sin^2 x = 4
 
1. State the remainder theorem

2. State the factor theorem

3. Solve the following simultaneous equations:
a. logx y = 2 and xy = 8

b. 2lg y = lg2 + lg x and 2^y = 4^x

4. Prove the following trig identities
a. sin θ + sin 2θ + sin 3θ ≡ sin 2θ(1 + 2cos θ)

b. 1 – cos 2t = 2cot2 t/sin2 t

c. (tan 2x)(1 + tan x)/tanx = 2/(1 – tan x)

5. Solve the following equations giving angles within the range 0° to 360°
a. sin 2x + cos x = 0

b. 5 cos x sin 2x + 4 sin^2 x = 4

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