[" (b) "(sqrt(3)+1)(3-cot30^(@))=3tan60^(@)-2sin60^(@)]

Prove that (sqrt(3)+1)(3-cot30^(@))=tan^(3)(60)^(@)-2sin60^(@)

Prove that (sqrt(3)+1)(3-cot30^@)=tan^3(60)^@-2sin60^@

The value of 2 sqrt(2) cos 45^(@) * cos 60^(@) + 2 sqrt(3) sin 30^(@) tan 60^(@) - cos 0^(@) is

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

(2tan3 0^(@))/(1-tan^2 3 0^(@)) is equal to (a) sin60^(@) (b) cos60^(@) (c) tan60^(@) (d) sin30^(@)

Choose the correct option and justify your choice :(i)(2tan30^(@))/(1+tan^(2)30^(@))(a)sin60^(@)(b)cos60^(@)(c)tan60^(@)(d)sin30^(@)

(sin30^(@))/(cos45^(@))+(cot45^(@))/(sec60^(@))-(sin60^(@))/(tan45^(@))+(cos30^(@))/(sin90^(@))=

sin60^(@)*sec^(2)45^(@)-3tan30^(@).4sin60^(@)=

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2

Without using trigonometric tables , prove that : (i) tan20^(@)tan40^(@) tan45^(@)tan50^(@)tan70^(@)=1 (ii) tan1^(@) tan2^(@)tan60^(@)tan88^(@)tan89^(@)=sqrt(3) (iii) cot5^(@)cot10^(@)cot30^(@)cot80^(@)cot85^(@)=sqrt(3) (iv) 4sin10^(@)sin20^(@)sin30^(@)sec70^(@)sec80^(@)=2