For an acute angle θ, `sinθ+cosθ` takes the greatest value when θ is

If sinθ+cosθ=1 , then what is the value of sinθcosθ ?

If θ is an acute angle and tanθ+cotθ=2 , find the value of tan^7θ+cot ^7θ.

Find the value of θ in tan θ=sin θ

Prove that in an acute angled triangle ABC, the least values of Sigma secA and Sigma tan^2 A are 6 and 9 respectively.

If theta is an acute angle and sintheta=costheta , find the value of 2tan^2theta+sin^2theta-1

Angle x is one of the acute angles in a right triangle. If the measure of angles is 30^(@), what is the value of (sin x)^(2) + (cos x )^(2) ?

Let a , b and c be non-coplanar unit vectors equally inclined to one another at an acute angle θ then [ a b c ] in terms of θ is equal to :

In an acute angled triangle ABC , the minimum value of tanA tanB tanC is

Find an acute angle theta , when (costheta-sintheta)/(costheta+sintheta)=(1-sqrt(3))/(1+sqrt(3))

If 32tan ^8 θ=2cos^2 α−3cosα and 3cos2θ=1 then the general value of α is