A.\(\cos \left( {x + y} \right) = \cos x.\cos y - \sin x.\sin y\)
B.\(\cos \left( {x + y} \right) = \cos x.\cos y + \sin x.\sin y\)
C.\(\cos \left( {x + y} \right) = \cos x.\sin y + \sin x.\cos y\)
D.\(\cos \left( {x + y} \right) = \cos x.\sin y - \sin x.\cos y\)

A.\(\sin \left( {a + \dfrac{\pi }{6}} \right) = \sin a + \dfrac{1}{2}\)
B.\(\sin \left( {a + \dfrac{\pi }{6}} \right) = \dfrac{1}{2}\sin a - \dfrac{{\sqrt 3 }}{2}\cos a\)
C.\(\sin \left( {a + \dfrac{\pi }{6}} \right) = \dfrac{{\sqrt 3 }}{2}\sin a\, - \dfrac{1}{2}\cos a\)
D.\(\sin \left( {a + \dfrac{\pi }{6}} \right) = \dfrac{{\sqrt 3 }}{2}\sin a + \dfrac{1}{2}\cos a\)

A.\( - \sqrt 3 \)
B.\( - 1\)
C.\(1\)
D.\(\sqrt 3 \)

A.\(\sin {15^ \circ } = \dfrac{{\sqrt 6  + \sqrt 2 }}{4}\)
B.\(\cos {15^ \circ } = \dfrac{{\sqrt 6  - \sqrt 2 }}{4}\)
C.\(\cos {75^ \circ } = \dfrac{{\sqrt 6  + \sqrt 2 }}{4}\)
D.\(\cos {75^ \circ } = \dfrac{{\sqrt 6  - \sqrt 2 }}{4}\)

A.\(\dfrac{1}{3}\)
B.\(\dfrac{2}{3}\)
C.\(1\)
D.\( - \dfrac{1}{3}\)

A.\(\dfrac{{ - 33}}{{65}}\)
B.\(\dfrac{{63}}{{65}}\)
C.\(\dfrac{{56}}{{65}}\)
D.\(0\)

A.\( - 4\)
B.\( - 6\)
C.\(24\)
D.\(26\)

A.\(\sqrt 2 \)
B.\(\sqrt 2  - 1\)
C.\(\sqrt 2  + 1\)
D.\(\sqrt 2  + 2\)

A.\( - \dfrac{3}{5}\)
B.\( - \dfrac{3}{{10}}\)
C.\(\dfrac{3}{5}\)
D.\(\dfrac{3}{{10}}\)

A.\(\cos \dfrac{\pi }{{32}}\)
B.\(\cos \dfrac{\pi }{{64}}\)
C.\(\cos \dfrac{\pi }{{16}}\)
D.\(\cos \dfrac{\pi }{8}\)