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Express each of the following in terms of trigonometric ratios of angles lying between 0^(@)and45^(@) . (i) sin70^(@)+cos70^(@) (ii) sec76^(@)tan48^(@) (iii) cot68^(@)+"cosec"62^(@) (iv) sin85^(@)+"cosec"82^(@)

Express each of the following in terms of trigonometric ratios of angles lying between 0^(@)and45^(@) . (i) sin70^(@)+cos70^(@) (ii) sec76^(@)tan48^(@) (iii) cot68^(@)+"cosec"62^(@) (iv) sin85^(@)+"cosec"82^(@)

|["cos"70^(@), "sin"20^(@)], ["sin"70^(@), "cos"20^(@)]|=?

Prove that sin 50^(@)-sin 70^(@)+cos 80^(@)=0 .

( sin 70^(@) + cos 40^(@) )/( cos 70^(@) + sin 40^(@))=

Prove that (sin70^(@)-cos40^(@))/(cos50^(@)-sin20^(@)) = 1/(sqrt(3)) .

Show that sin70^(0)cos10^(0)-cos70^(0)sin10^(0)=(sqrt(3))/(2)

Without using the trigonometric tables, evaluate the following : (11)/(7) (sin 70^(@))/(cos 20^(@)) - (4)/(7) (cos 53^(@) "cosec" 37^(@))/(tan 15^(@) tan 35^(@) tan 55^(@) tan 75^(@))

(sin^(2) 20^(@) + sin^(2) 70^(@))/(cos^(2) 20^(@) + cos^(2) 70^(@)) + [ (sin (90^(@) - theta).sin theta)/(tan theta) + (cos (90^(@) - theta).cos theta)/(cot theta) ] .