The value of the expression `sum_(theta =0)^8 1/(1 + tan^3 (10theta)^@)` equals

The value of the expression (cos^(6)theta+sin^(6)theta-1)(tan^(2)theta+cot^(2)theta+2) is :

The value of the expression (cos^6 theta + sin^6 theta - 1)(tan^2 theta + cot^2 theta + 2) is:

If 11theta=90^(@), then the value of the expression tan theta tan 2 theta tan 3 theta tan 4 theta tan 5 theta tan 6 theta tan 7 theta tan 8 theta tan 9 theta tan 10theta is equal to-

then the value of the expression E=(sqrt(1+tan^(2)theta))/(tan theta)-(sqrt(1+cot^(2)theta))/(cot theta) is equal to

The expression,(1+sec2 theta)(1+sec4 theta)(1+sec8 theta) is equal to -

For theta in(0,(pi)/(2)), the value of definite integral int_(0)^( theta)ln(1+tan theta tan x)dx is equal to

f(theta)=(1)/(1+(tan theta)^(2013)), then value of sum_(theta=1^(@))^(89^(@))f(theta) equals

The value of sin^(2)theta+(1)/(1+tan^(2)theta) is equal to