`sqrt(3)cot2 0^(@)-4cos2 0^(@)=`

sqrt3 cot20^(@)-4cos20^(@)=

4cos20^(@)-sqrt(3)cot20^(@)

If sqrt(3)cot^(2)theta-4cottheta+sqrt(3)=0 ,tehn find the value of cot^(2)theta+tan^(2)theta

int_( then )^( If )sqrt(3cot^(2)x+4)dx=A ln sqrt(3)cot x+sqrt(4+3cot^(2)x)|-sin^(-1)((cos x)/(B))+C

Prove that (i) " sin " 75^(@) =((sqrt(6)+sqrt(2)))/(4) (ii) (cos 135^(@) -cos 120^(@))/(cos 135^(@) +cos 120^(@)) =(3 -2sqrt(2)) (iii) " tan " 15^(@) +" cot " 15^(@) =4

(1-tan2^(0)cot62^(@))/(tan152^(0)-cot88^(@))(a)sqrt3(b)-sqrt3(c)sqrt2-1(d)1-sqrt2^(@)

Prove that : (i) tan 5^@tan 25^@ tan 30^@tan 65^@tan 85^@=(1)/(sqrt(3)) (ii) cot 12^@cot38^@cot 52^@cot60^@cot78^@=(1)/(sqrt(3)) (iii) cos 15^@cos 35^@cosec 55^@cos 60^@cosec 75^@=(1)/(2) (iv) cos 1^@cos 2^@cos 3^@.....cos 180^@=0 (v) ((sin 49^@)/(cos 41^@))^2+ ((cos 41^@)/(sin 49^@))^2=2

Evaluate each of the following: (cot^(-1)1)/(sqrt(3))-cos ec^(-1)(-2)+sec^(-1)((2)/(sqrt(3))) (ii) cot^(-1){2cos((sin^(-1)(sqrt(3)))/(2))}

The value of cot70^(@)+4cos70^(@) is (a) (1)/(sqrt(3)) (b) sqrt(3)(c)2sqrt(3)(d)(1)/(2)