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mdbdidjdksnd
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#1
How do I get cos2t-cos4t from sintsin3t?
It's part of an integration question and the mark scheme doesnt show the steps for this part.
It's part of an integration question and the mark scheme doesnt show the steps for this part.
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mqb2766
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#2
(Original post by mdbdidjdksnd)
How do I get cos2t-cos4t from sintsin3t?
It's part of an integration question and the mark scheme doesnt show the steps for this part.
How do I get cos2t-cos4t from sintsin3t?
It's part of an integration question and the mark scheme doesnt show the steps for this part.
https://en.wikipedia.org/wiki/List_o...uct_identities
then integrate
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mdbdidjdksnd
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#3
(Original post by mqb2766)
Use the product to sum formula
https://en.wikipedia.org/wiki/List_o...uct_identities
then integrate
Use the product to sum formula
https://en.wikipedia.org/wiki/List_o...uct_identities
then integrate
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mqb2766
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#4
(Original post by mdbdidjdksnd)
Okay, thank you. But where is this formula from? Is it supposed to be given to us in the a level maths exam cause I never learnt this.
Okay, thank you. But where is this formula from? Is it supposed to be given to us in the a level maths exam cause I never learnt this.
cos(2t) = cos(3t-t) = cos(3t)cos(t) + sin(3t)sin(t)
cos(4t) = cos(3t+t) = cos(3t)cos(t) - sin(3t)sin(t)
then subtract.
Last edited by mqb2766; 4 weeks ago
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_Rusty_
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#5
(Original post by mdbdidjdksnd)
How do I get cos2t-cos4t from sintsin3t?
It's part of an integration question and the mark scheme doesnt show the steps for this part.
How do I get cos2t-cos4t from sintsin3t?
It's part of an integration question and the mark scheme doesnt show the steps for this part.
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mdbdidjdksnd
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#6
(Original post by mqb2766)
Cant say for definite what you have/should have covered. But it is a 1 line derivation from the usual angle sum / difference identities so
cos(2t) = cos(3t-t) = cos(3t)cos(t) + sin(3t)sin(t)
cos(4t) = cos(3t+t) = cos(3t)cos(t) - sin(3t)sin(t)
then subtract.
Cant say for definite what you have/should have covered. But it is a 1 line derivation from the usual angle sum / difference identities so
cos(2t) = cos(3t-t) = cos(3t)cos(t) + sin(3t)sin(t)
cos(4t) = cos(3t+t) = cos(3t)cos(t) - sin(3t)sin(t)
then subtract.
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