((sin0^(@)+sin60^(@))(cos60^(@)+cot45^(@)))/((cot60^(@)+tan30^(@))(cosec30^(@)-cosec90^(@)))=(9)/(8)

Prove that: = (("sin" 0^@+cos30^(@))("sin" 30^(@)+"tan" 45^(@)))/(("tan" 30^(0)+cot60^(@))(sec60^(@)-c"osec"90^(@)))=(9)/(8)

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

tan60^(@)cos60^(@)+cot60^(@)sin60^(@)=_____ .

tan45^@/(cosec30^@)+sec60^@/(cot45^@)=

(sin60^(@)+sin30^(@))/(sin60^(@)-sin30^(@))=(tan60^(@)+tan45^(@))/(tan60^(@)-tan45^(@))

Prove that : ((sin 0^@+ cos30^@)(sin30^@+tan45^@))/((tan 30^@+ cot 60^@)(sec 60^@-cosec90^@))=9/8 .

Prove that ((sin0^@+cos30^@)(sin30^@+tan45^@))/((tan30^@+cot60^@)(sec60^@-cosec90^@))=9/8 .

Calculate : (1-sin^(2)30^(@))/(1+sin^(2)30^(@))xx(cos^(2)60^(@)+cos^(2)30^(@))/("cosec"^(2)90^(@)-cot^(2)90^(@)) divide (sin60^(@) tan30^(@))

Evaluate : (i) sin60^(@)*cos30^(@)-cos60^(@)*sin30^(@) (ii) tan30^(@)*cosec60^(@)+tan60^(@)*sec30^(@) .

Evaluate each of the following :- (tan^(2)60^(@)+4cos^(2)45^(@)+3sec^(2)30^(@)+5cos^(2)90^(@))/(cosec30^(@)+sec60^(@)-cot^(2)30^(@))