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Prove that · (cos 135^@ - cos 120^@)/(cos 135^@ +cos 120^@) = 3-2sqrt2

Prove that: (cos 135^@ - cos120^@)/(cos 135^@ + cos120^@) =3-2 sqrt2 .

Find the value of cos(135^(@))

Prove that (i) " sin " 75^(@) =((sqrt(6)+sqrt(2)))/(4) (ii) (cos 135^(@) -cos 120^(@))/(cos 135^(@) +cos 120^(@)) =(3 -2sqrt(2)) (iii) " tan " 15^(@) +" cot " 15^(@) =4

Give the following quotients in polar form : (7(cos 135^@ + isin 135^@))/(14(cos 90^@ + i sin 90^@)) .

Find the values of the following allied angles : (vii) cos 135^(@)

Find the value of the following : (a) sin 120^(@) (b) cos 135^(@) (c ) tan 150^(@)