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[CIE] All Pure Mathematics (P1, P2 and P3) doubts here !

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astarmathsandphysics:
No probs

urni.nath:
could you pls solve this :
Prove : 10sin^2(x)-5cos^2(x)+2=4sin(x)

donhassan:

--- Quote from: urni.nath on November 29, 2011, 03:52:59 pm ---could you pls solve this :
10sin^2(x)-5cos^2(x)+2=4sin(x)

--- End quote ---
10sin^2(x)-5cos^2(x)+2=4sin(x)
10sin^2(x)-5(1-sin^2(x))+2=4sin(x)
10sin^2(x)-5+5sin^2(x)+2=4sin(x)
15sin^2(x)-4sin(x)-3=0
solve this equation as quadratic equation
u will get
sin(x)=0.6   and     sin(x)=-1/3  => 19.47

(x)=36.9 degree               =180+19.47  = 199.5
(x)=143.1 degree              =360-19.47  =340.5

hope u understood this piece of cake

urni.nath:
Thanks for your help! :) I really appreciate it.

Most UniQue™:
1.Given that there is no term in x in the expansion of (1 ? 2x)(1 + ax)5, find the value of the
constant a.

2. Check the attachment

Please help. Got exam on Saturday. Thanks

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