Write z=i in trigonometric form.

If in two acute angled triangles corresponding angles are equal ,then using trigonometric ratios prove that the corresponding sides are in the same ratio.

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

Show that (without using table of trigonometric ratios) :(i) (cos18^0)/(sin72^0)=1

Find the values of other five trigonometric functions if sin theta=3/5 ,is lies in quadrant I.

Given sectheta=13/12 ,calculate all other trigonometric ratios.

Show that (without using table of trigonometric ratios) :(iii) sin63^@cos27^@+cos63^@sin27^@=1

Express sin67^@+cos75^@ in terms of trigonometric ratios of angles between 0^@ and 45^@

Show that (without using table of trigonometric ratios) :(iv) sin^2 20^@+sin^2 70^@=1

Find the values of other five trigonometric functions if cos theta=-1/2 ,theta lies in quadrant II.

Show that (without using table of trigonometric ratios) :(v) sin55^@-cos35^@=0