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c3 help trigonometry URGENT

Exercise 7d question 4a?
Are you familiar with writing trig expressions in the form Rsin(θ+α)R\sin(\theta + \alpha)?
Reply 2
This is where i have got up to
Original post by JSM1
Exercise 7d question 4a?


How far have you got?

Looks pretty standard to me.
Reply 4
Original post by Muttley79
How far have you got?

Looks pretty standard to me.

^^^^^^
Original post by JSM1
This is where i have got up to


OK now substitute in the values of cos and sin.

The usual approach is to start with the LHS and compare it with Rsin (theta + alpha) - see the examples just before the exercise.
Reply 6
Original post by Muttley79
OK now substitute in the values of cos and sin.

The usual approach is to start with the LHS and compare it with Rsin (theta + alpha) - see the examples just before the exercise.


sub in what? wheres the cos and sin?
Original post by JSM1
This is where i have got up to


Show that 2sinθcosπ4=sinθ\sqrt 2 \sin\theta \cos \frac \pi 4 = \sin\theta, and similarly for the cos\cos term.
Reply 8
Original post by _gcx
Show that 2sinθcosπ4=sinθ\sqrt 2 \sin\theta \cos \frac \pi 4 = \sin\theta, and similarly for the cos\cos term.


how?
Original post by JSM1
how?


What does cosπ4\cos \frac \pi 4 equal?
Reply 10
Original post by _gcx
What does cosπ4\cos \frac \pi 4 equal?


i dont know
Original post by JSM1
i dont know


Are you familiar with working with radians? If not, I'd recommend reviewing them for this topic. (pretty sure it's covered in C2 though?)
Reply 12
Original post by _gcx
Are you familiar with working with radians? If not, I'd recommend reviewing them for this topic. (pretty sure it's covered in C2 though?)


what do you do to work what it equals to?
Reply 13
Original post by _gcx
Are you familiar with working with radians? If not, I'd recommend reviewing them for this topic. (pretty sure it's covered in C2 though?)

what do you have to do?
Original post by JSM1
what do you have to do?


You should know the exact value of sin and cos (pi/4).

[Hint - in degrees it would be 45]
Reply 15
Original post by Muttley79
You should know the exact value of sin and cos (pi/4).

[Hint - in degrees it would be 45]


yes 45 degrees, then what? ms shows 1/root2. how did they get that?
Original post by JSM1
yes 45 degrees, then what? ms shows 1/root2. how did they get that?


You should be familiar with sin45=12\sin 45^\circ = \frac 1 {\sqrt 2} at least.
Reply 18


is this all you really need to know?
Reply 19
Original post by JSM1
is this all you really need to know?


It is something you need to know as well.

The triangles are a helpful way of remembering SOME of the values of sin, cos and tan.

In this case, we see that sin(π/4)=cos(π/4)=2/2=1/2. \sin( \pi / 4) = \cos( \pi / 4) = \sqrt{2} / 2 = 1 / \sqrt{2}.

This should be enough for you to complete your method of answering the question.

----------------------------------------------------------------------------------------------------

You could also start using the LHS (left-hand-side) using the Rcos(θ±α) R \cos (\theta \pm \alpha) method.

This website explains this method whcih is comes up frequently in A-level:

http://www.mathcentre.ac.uk/resources/uploaded/mc-ty-rcostheta-alpha-2009-1.pdf
(edited 6 years ago)

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