A 18 m long ladder (whose foot is on the ground) leans against a wall making an angle of 60° with the wall. What is the height (in m) of the point where the ladder touches the wall from the ground?
In ΔABC ∠C = 180∘ − 30∘ − 90∘ ∠C = 60° Now, sin 60∘ = AB/AC √3/2 = AB/18 ⇒ AB = 9√3
If θ is a positive acute angle and cos² θ + cos⁴θ = 1, then the value of tan²θ + tan⁴θ is?
Evaluate, tan 17° tan 32° + tan 32° tan 41° + tan 41° tan 17° =?
Find the value of `1/2` cosec 10 - `2/(cosec 70)` ?
If 2y . cos θ - x . sin θ = 0 and 2x . sec θ - y . cosec θ = 3, what is the value of x² + 4y²?
cos A (sec A – cos A) (cot A + tan A) = ?
If √3 tan 2θ – 3 = 0, then find the value of tanθ secθ – cosθ where 0 < θ < 90°
The maximum value of 15 sin2 θ + 8 cos2 θ is