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secondary 3 | A Maths
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Nicole She
Nicole She

secondary 3 chevron_right A Maths chevron_right Singapore

Pls help me with this question. Thank you

Date Posted: 4 years ago
Views: 255
Nicole She
Nicole She
4 years ago
Pls help to look through my answer to see what is wrong with my working. Thank you
J
J
4 years ago
Where is the working?

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sin²x + tan²xsin²x
= sin²x(1 + tan²x)
= sin²xsec²x
= sin²x(1/cos²x)
= sin²x/cos²x
= (sinx/cosx)²
= tan²x
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J
J's answer
1022 answers (A Helpful Person)
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Nicole She
Nicole She's answer
6 answers (A Helpful Person)
Here is my working
Eric Nicholas K
Eric Nicholas K
4 years ago
Factorise out the common term sin^2 x from the numerator
J
J
4 years ago
Continued from your working :

= sin²x(cos²x + sin²x)/cos²x
(factor out sin²x)

= sin²x(1)/cos²x (recall sin²x + cos²x = 1)

= tan²x


Alternatively you use the working that I've posted
Nicole She
Nicole She
4 years ago
Thank you