" 7.Show that "sin30^(@)*cosec30^(@)*tan30^(@)=(1)/(sqrt(3))

Show that : (i) (1-sin60^(@))/(cos60^(@))=(tan60^(@)-1)/(tan60^(@)+1) (ii) (cos30^(@)+sin60^(@))/(1+sin30^(@)+cos60^(@))=cos30^(@)

Verify that sin60^(@)=(2tan 30^(@))/(1+tan^(2)30^(@))

Show that (i) cos60^(@)*cos30^(@)-sin60^(@)*sin30^(@)=cos90^(@) (ii) cos60^(@)=1-2sin^(2)30^(@)=2cos^(2)30^(@)-1 (iii) (tan60^(@)-tan30^(@))/(1+tan60^(@)*tan30^(@))=tan30^(@)

What is the value of (cosec30^(@)-(1)/(sqrt(3))) ?

Prove (1-sin60^(@))/(cos60^(@))=(1-tan30^(@))/(1+tan30^(@))

Prove that: (cos30^(@)+sin60^(0))/(1+cos60^(@)+sin30^(@))=(sqrt(3))/(2)

(sin30^(@)-sin90^(@)+2cos0^(@))/(tan30^(@)tan60^(@))

Find the values of sin 30^(@) ,cos 30 ^(@) ,tan 30 ^(@) ,cosec 30^(@) ,sec 30 ^(@) and cot 30^(@)

Show that (tan 60^(@)-tan30^(@))/(1+tan 60^(@) tan 30^(@))= tan 30^(@) .

Evaluate : (i) sin^(2)30^(@)*cos^(2)45^(@)+4tan^(2)30^(@)+(1)/(2)sin^(2)90+(1)/(8)cot^(2)60^(@) (ii) (tan^(2)60^(@)+4sin^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/(cosec30^(@)+sec60^(@)-cot^(2)30^(@))