Three C3 questions below. Just want to see if i got the same answers.
3a) Binomial
1-x^2 ( all square-rooted)
Up to and including the x^4
b) |lnx|=3
Find the exact values of x.
7a) Identity
cosec^2θ + sec^2θ = cosec^2θsec^2θ
b) 3tan^2θ-5secx +1 =0 between -π<θ(less than or equal)π
Finally
8i) Cartesian
x=3 - 1/sinθ y=2sinθ
All help is appreciated.
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gregreg
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- 16-01-2010 13:30
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gregreg
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Anyone try to do question 7a+b?
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- 16-01-2010 14:50
part a) 1 / sin^2x + 1/cos^2x
cos^2x + sin^2x / sin^2xcos^2x
i've started you off there for a, i've re-write cosec and sec in terms of sin and cos. and then cross multiplied
for part b) tan^2x + 1= sec^2x is all you need to know, learn those identities!!!
Spoiler:Showa) sin^2x + cos^2x =1
b) 3sec^2x -5secx-2=0 solve this as a quadraticLast edited by devan5; 16-01-2010 at 14:58. -
gregreg
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(Original post by devan5)
part a) 1 / sin^2x + 1/cos^2x
cos^2x + sin^2x / sin^2xcos^2x
i've started you off there for a, i've re-write cosec and sec in terms of sin and cos. and then cross multiplied
for part b) tan^2x + 1= sec^2x is all you need to know, learn those identities!!!
Spoiler:Showa) sin^2x + cos^2x =1
b) 3sec^2x -5secx-2=0 solve this as a quadratic
See for part a) could you do this as a way:
Take r.h.s
(1 + cos^2x/sin^2x)(1 + sin^2x/cos^2x)
Then times it out to get:
1 + sin^2x/cos^2x + cos^2x/sin^2x + cos^2xsin^2x/cos^2xsin^2x
Which can cancel to give the answer?
(1 + tan^2x) + (1 + cot^2x)
(sec^2x) + (cosec^2x)
??
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