TOPIC 25 | addition formula set 1 of 4 get the full set details at the bottom of page
Question 1:
Find all the angles between 0° and 360° which satisfy 2cos
=
2y 4 sin y + 3
Question 2:
(a) Show that cot x − cot 2x =
cos ec 2x
(b) Hence solve, for angles between 0o to 360o, the equation cot x − cot 2x =
2
Question 3:
Find all the angles between 0o and 360o which satisfy the equation
x
2cos   = 3sin x
2
Question 4:
Find the angles between 0o and 360o which satisfy the equation
=
cos 2x 2cos(90° − 2x)
Question 5:
Find all the angles between 0° and 360° inclusive which satisfy the
equation 2cos 2z + 3sin z − 2 =
0
Question 6:
Solve, for 0 ≤ x ≤ 2π , the equation 3sin 2x − 2sin x =
0
Question 7:
Solve the following equations for 0° < x < 360°
(a) 2cos 2x + 4sin x + 1 =
0
(b) 4sin xcos x = 1
Question 8:
 sin x
a cos x 
The matrix 
 is a singular matrix. Find the value of a if
cos x 
 cos x
x= 60° is known to be one of the solutions. Hence find the other possible
solutions of x if 0° ≤ x ≤ 360°
Question 9:
Solve the equation 7 sin x cos x= 1 + 2sin 2x , 0° ≤ x ≤ 360°
Page
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TOPIC 25 | addition formula set 1 of 4 get the full set details at the bottom of page
Question 10:
Find all the angles between 0° and 360° , which satisfy 3cos x sin 2x = 2cos x
Question 11:
Find the smallest positive value of x if
1
(sin x cos x − sin 2 x)(cos 2 x + cos x sin x) =
8
Question 12:
Solve 7 sin x cos x= 1 + 2sin 2x for 0 ≤ x ≤ 2π
Find all the angles between 0 o and 360 o inclusive which satisfy the
x
equation 2cos   = 3sin x
2
Question 13:
Find all the angles between 0 o and 360 o inclusive, which satisfy
3cos 2x= 2 + cos x
Question 14:
Find all the angles between 0 and π which satisfy 5 cos x= 4 + 3cos 2x
Question 15:
Solve cos 2x = 2sinx for 0 o < x < 360 o
Question 16:
Find all the angles between 0 o and 180 o which satisfy
cos 2x − 3sin x + 1 =
0
Question 17:
Solve the equation 2sin x = sec x, for 0 ≤ x ≤ π
Question 18:
Find all the angles between 0 o and 360 o which satisfy =
4 sin x 2cos 2x − 3
Question 19:
Find all the angles between 0 o and 360 o which satisfy 3tan 2x − 2cot x =
0
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TOPIC 25 | addition formula set 1 of 4 get the full set details at the bottom of page
Question 20:
Given that cosec x = 2 and that cos x < 0 , find cos 2x
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