A-Level Maths: E8-06 Proving Trigonometric Identities: Example 5

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Комментарии
Автор

I would never have thought in a million years to multiply it by 1+cosx/1+cosx. Sometimes its really just hit and miss with these type of questions.

a.
Автор

..but I guess, its more easier if you just rationalize the denominator...
i.e. [
=[cscx +cotx]/[csc²x - cot²x]
=cscx+cotx =LHS proved.
[∵csc²x -cot²x = 1]

strai
Автор

2:36 Not quite sure what you did there?

How did you cancel out the sin x?
Isn’t sinx / sinx^2 = 1/sinx in the same way that 5/5^2 = 1/5.

1/sinx + 1/sinx + cosx/sinx = 2cosecx + cotx

karotic
Автор

Managed to achieve the question myself after 20-25 mins but thats no big achievement since i cant afford to spend this long in the exam aha

AG-qlsy