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.\(\cos \dfrac{\pi }{8}\)

A.\(P = \dfrac{{13}}{{288}}\)
B.\(P =  - \dfrac{{13}}{{288}}\)
C.\(P = \dfrac{{11}}{{288}}\)
D.\(P =  - \dfrac{{11}}{{288}}\)

A.\(B =  - 1\)
B.\(B = 1\)
C.\(B = 0\)
D.\(B = {\sin ^2}x\)

A.\(\dfrac{{4\sqrt 3 }}{3}\)
B.\(\dfrac{{\sqrt 3 }}{3}\)
C.\(\dfrac{{2\sqrt 3 }}{3}\)
D.\(\dfrac{1}{3}\)