Get Started with ixamBee
Start learning 50% faster. Sign in now
sin 23° = `12/13` = perpendicular/hypotenuse So perpendicular = 12 & hypotenuse = 13 so base = 5 But for angle 67° which is complimentary of 23°, perpendicular = 5 & base =12. So tan 67° = perpendicular/base = `5/12` Alternate Method sin 23° = `12/13` or cos (90°-23°) = `12/13` or cos 67° = `12/13` -----(1) Squaring on both sides, we will get cos2 67° = `144/169` or (1 - sin2 67°) = `144/169` or sin2 67° = 1 - `144/169` = `25/169` = `(5/13)^2` So sin 67° = `5/13` ----(2) Hence tan 67° = sin67°/cos67° = `(5/13)/(12/13)` = `5/12` ` ` ` ` ` ` ` ` ` ` ` `
The volume and height of a cylinder are 2662 cm3 and 7 cm. Find the radius of the cylinder.
A rectangular hall has a length of 32 meters and a perimeter of 96 meters. If the entire hall is to be carpeted at a cost of Rs. ...
The weight of a cubic metre metal is 1215 kg. It is melted and cast into a square rod of 9m length. A solid cube of maximum size is taken out from one e...
On a rectangular wall of length 35 metres and height 30 metres, there is a window in the shape of triangle surmounted on a square. If the base of triang...
If the ratio of the heights of two cones is 3:2 and the diameters are in the ratio 5:6, what is the ratio of their volumes?
The lateral surface area of frustum of a right circular cone, if the area of its base is and the diameter of circular upper surface is 4 cm and slant he...
A square has an area of 289 cm². The rectangle's breadth is 20% more, and its length is 50% more than the square's side. What is the area ratio of the ...
If 35 grams of sugar is further added to a 20 percent sugar solution, the solution then becomes a 36 percent sugar solution. What was the initial quanti...
Find the area of sector of a circle whose radius is 21 cm and angle subtended by the sector at centre of circle is 45 ° .
