What is the value of cosecA(1 − cosA)(cosecA + cotA)?

The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is

A shopkeeper offers the following three schemes. Scheme-I: Two successive discounts of 15% and 25% Scheme-II: Buy 5, get 3 free Scheme-III: Buy 4, get 6 Which scheme is the best for customers?

Find the value of tan 27⁰ tan34⁰ + tan34⁰ tan29⁰ + tan29⁰ tan27⁰.

The base of a triangle is 16 cm and its area is $${144cm^2}$$. Find its corresponding height, with respect to the given base.

The base and altitude of a right angled triangle are 12 cm and 5 cm respectively. The perpendicular distance of its hypotenuse from the opposite vertex is

If C₁, C₂ be the centres of rwo circles and r₁, r₂ be the respective radii such that the distance between the centres is equal to the sum of the radii of the two circles, find the number of common tangents.

The sum of square of three positive integers is 323. If the sum of squares of two numbers is twice the third, their product is