Showing posts with label trignometry. Show all posts
Showing posts with label trignometry. Show all posts

Friday, August 29, 2014

trigonometry

If A, B and C are interior angles of a triangle ABC, show Tan (A + B – C)/2  = cot C

Thursday, August 8, 2013

trigonometry NCERT



A window of a house is h metres above the ground. From the window, the angles of elevation and depression of the top and the bottom of another house situated on the opposite side of the lane are found to be α and β, respectively. Prove that the height of the other house is h (1 + tan α cot β) metres


trigonometry NCERT --- ↑↑↑


The angle of elevation of the top of a vertical tower from a point on the ground is 60o. From another point 10 m vertically above the first, its angle of elevation is 45o. Find the height of the tower.

trigonometry NCERT ↑↑↑↑



A ladder rests against a vertical wall at an inclination α to the horizontal. Its foot is pulled away from the wall through a distance p so that its upper end slides a distance q down the wall and then the ladder makes an angle β to the horizontal.
Show that:

trigonometry - NCERT ↑↑



The angle of elevation of the top of a tower 30 m high from the foot of another tower in the same plane is 60° and the angle of elevation of the top of the second tower from the foot of the first tower is 30°. Find the distance between the two towers and also the height of the other tower.

trigonometry -- NCERT ↑↑↑↑



 

trigonometry NCERT ↑↑↑↑





trigonometry -- NCERT ↑↑



Simplify:
(1+ tan2A)(1-sinA)(1+ sinA)

trigonometry - NCERT ↑↑


Find the value of A:
2sin2A – cos2A = 2

trigonometry ---- NCERT ↑↑↑