5.05 1. find all solutions to the equation in the interval [0, 2π). cos 2x - cos x = 0 a) 0, two pi divided by three. , four pi divided by three. b) pi divided by six , five pi divided by six , three pi divided by two. c) 0, pi divided by two. , seven pi divided by six. , eleven pi divided by six d) no solution 2. rewrite with only sin x and cos x. sin 3x a) 2 sin x cos2x + cos x b) 2 sin x cos2x + sin3x c) sin x cos2x - sin3x + cos3x d) 2 cos2x sin x + sin x - 2 sin3x 3. find the exact value by using a half-angle identity. cosine of five pi divided by twelve. with answer only if you are sure. you

sin(A+B)=sinAcosB+cosAsinB

sin(x+2x)=sinxcos2x+cosxsin2x

sin2x = 2sinxcosx

cos2x = (cosx)^2 - (sinx)^2 

sin(x+2x)=sinx((cosx)^2 - (sinx)^2)+cosx(2sinxcosx)

we have (sinx)^2 =1- (cosx)^2 

sin(x+2x)=sinx((cosx)^2 - (1- (cosx)^2)+cosx(2sinxcosx)

sin(x+2x)=sinx((2cosx)^2 - 1)+2sinx(cosx)^2

sin(x+2x)=2sinx(cosx)^2 - sinx+2sinx(cosx)^2

(cosx)^2 =1- (sinx)^2 

sin(x+2x)=2sinx(cosx)^2 - sinx+2sinx(1- (sinx)^2)

sin(x+2x)=2sinx(cosx)^2 - sinx+2sinx- 2(sinx)^3)

cos(x/2)=±(√1+cos(x))/2

We know that cos(π/6)=√3/2.

So

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

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step-by-step explanation:

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