Find the value of `x` in each of the following: `tanx=sin45°cos45°+sin30°` (ii) `sqrt(3)tan2x=cos60°+sin45°cos45°` (iii) `cos2x=cos60°cos30°+sin60°sin30°`

Find the value of x in each of the following: (i) tan3x=sin45^0cos45^0+sin30^0 , (ii) cosx=cos60^0cos30^0+sin60^0sin30^0 , (iii) sin2x=sin60^0cos30^0-cos60^0sin30^0dot

Find the value of x in the following : cos2x=cos60cos30 + sin60sin30

Evaluate each of the following in the simplest form: sin60ocos30o+cos60osin30o (ii) sin60ocos45o+cos60osin45o

Evaluate the following: (i) sin45osin30o+cos45ocos30o (ii) sin60ocos30o+cos60osin30o

Find the values of the following :- {:((a)sin(-30^(@)),(b)cos(-45^(@))),((c)sin(-60^(@)),(d)tan(-45^(@))):}

Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^o) (ii) (sin30^o-sin90^o + 2cos0^o)/(tan30^otan60^o)

Evaluate the following: (cos0o+sin45o+sin30o)(sin90o-cos45o+cos60o) (ii) (sin30o-sin90o+2cos0o)/(tan30otan60o)

Find the value of x, if : cos x = cos 60^(@) cos 30^(@) + sin 60^(@) sin 30^(@)

Evaluate the following: (i) cos60ocos45o-sin60osin45o (ii) sin^2 30o+sin^2 45o+sin^2 60o+sin^2 90o

Evaluate the following: 4(sin^4 60o+cos^4 30o)-3(tan^2 60o-tan^2 45o)+5cos^2 45o (ii) (cos e c^2 45osec^2 30o)(sin^2 30o+4cot^2 45o-sec^2 60o)