The expression of (cot θ + cosec θ −1) / (cot θ − cosec θ+1) is equal to
(Cotθ + Cosecθ – 1) / (Cotθ – Cosecθ + 1) we know that [ ∵ Cosec2θ – cot2θ = 1] => (Cotθ + Cosecθ – (Cosec2θ – cot2θ)) / (Cotθ – Cosecθ + 1) => (Cotθ + Cosecθ – (Cosecθ + cotθ) (Cosecθ - cotθ)) / (Cotθ – Cosecθ + 1) => (Cotθ + Cosecθ (1 – Cosecθ + cotθ)) / (Cotθ – Cosecθ + 1) => (Cotθ + Cosecθ) => (Cosθ / Sinθ) + (1 / Sinθ) = (Cosθ + 1) / (Sinθ)
The area of a square is 38 sq. cm more than the area of a rectangle of length 19 cm and breadth 17 cm. What will be the area of incircle of the square?
If you divide a 24.6 m long wire in the ratio 12: 29, what will be the length of the longer piece?
The length of three perpendicular distances of three sides of an equilateral triangle from a point which lies inside that triangle are 9 cm, 8 cm and 7 ...
A cone and a cylinder have the same radius and height. If the volume of the cone is 100 cm³, what is the volume of the cylinder?
If 3 vertices of a parallelogram ABCD are A (1, 2, 3), B (-1, -2, -1) and C (2, 3, 2) (taken in order), then the 4th vertex D is
A right circular cylinder having total surface area of 2833.6 cm2 is immersed in a vessel completely filled with water. If the height of the ...
What is the area of the largest square that is inscribed in a semicircle of radius 15 cm?
A sum of Rs.10600 is to be divided among 6 brothers, 5 sisters and 3 aunts. If each sister receives four times as much as each aunt and each brother rec...
A tank whose length, width and height are 21 metres, 18 metres and 10 metres respectively is completely filled with juice. If the juice costs Rs.5/m
AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm, then what is the length of PD?
