Qualification > Math

Trigonometry Problem

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angel_ak:
Express cos x + (under root 3) sin x in the form R cos ( x - a),
where R > 0 and 0 < a < 1/2 pie ,
giving the exact values of R and a.

m soryy i din knw how to insert that under root or pie symbol  :(
 reply sooon pleeeeeeeeeeease :(

angel_ak:
its  from paper june 2007, p03 question 5

Arthur Bon Zavi:
Doing it.

Arthur Bon Zavi:

=

Keeping x = 0, we get :


Keeping x = , we get :


R2 = ()2 + (1)2
R = 2

There are two equations now :

AND

Take any one of them and you will get the value of a, which is 600 or .

Therefore the equation is

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