Trigonometric ratios of some special angles

Given tanA=4/3 , find the other trigonometric ratios of the angle A.

If costheta=4/5 , find all other trigonometric ratios of angle theta .

If sintheta=1/(sqrt(2)) , find all other trigonometric ratios of angle theta .

Trigonometric identities

Express sin 67^@+cos 75^@ in terms of trigonometric ratios of angles between 0^@ and 45^@ .

Express cot 85^o +cos75^o in terms of trigonometric ratios of angles between 0^o and 45^o

Express cos70^(@)+sin70^(@)+tan65^(@) in terms of trigonometric ratios of angles lying between 0^(@)and45^(@)

Express each of the following in terms of trigonometric ratios of angles between 0 and 45 : (i) sin81 + tan81 (ii) sin72 + cot72

Express the trigonometric ratios sin A, sec A and tan A in terms of cot A.

Write all the other trigonometric ratios of /_A in terms of sec A.