If (1/cos θ) – (1/cot θ) = 1/P, then what is the value of cos θ?

What is the simplified value of (sin A – cosec A)(sec A – cos A) (tan A + cot A)?

What is the simplified value of sec4θ – sec2θ tan2θ?

The length of the common chord of two intersecting circles is 12 cm. If the diameters of the circles are 15 cm and 13 cm, then what is the distance (in cm) between their centers?

The length of diagonal of a square is 9√2 cm. The square is reshaped to form a triangle. What is the area (in sq.cm) of largest in circle that can be formed in that triangle?

In triangle ABC, ∠ABC = 15 deg. D is a point on BC such that AD = BD. What is the measure of ∠ADC (in degrees)?

In triangle ABC, AD, BE and CF are the medians intersecting at point G and area of triangle ABC is 156 sq.cm. What is the area (in sq.cm) of triangle FGE?

If x2+ x = 19, then what is the value of (x + 5)2+ [1/(x + 5)2]?