Start learning 50% faster. Sign in now
2cosA + secA = 2√2
Or, 2cosA + (1/cosA) = 2√2
Or, 2cos 2 A + 1 = 2√2 × cosA
Or, 2cos 2 A – 2√2 × cosA + 1 = 0
Or, 2cos 2 A - √2cosA - √2cosA + 1 = 0
Or, √2 × cosA × (√2cosA – 1) – 1 × (√2cosA – 1) = 0
Or, (√2 × cosA – 1) 2 = 0
Or, √2 × cosA – 1 = 0
So, cosA = (1/√2) = cos45 o
So, A = 45 o
2(sec 4 A + cosec 4 A) = 2 × (sec 4 45 o + cosec 4 45 o )
= 2 × [(√2) 4 + (√2) 4 ] = 2 × (4 + 4) = 2 × 8 = 16
If the area of a circle is 154 cm², then the circumference of the circle is:
The sum of the total surface areas of two cubes is 1572 cm2. If the product of the length of their edges is 99 cm2, then find the ...
The length of a rectangle, area of which is 105 cm2, is equal to the radius of a circle of area 1386 cm2. Find the perimeter of th...
The surface area of water in a swimming pool forms a rectangle with length 30m and breadth 12m. The depth of water increases uniformly from 1.4m to 2.6m...
Outer diameter of 20 cm long pipe is 25 cm. If the thickness of the metal in the pipe is 1 cm. Find the total surface area of the pipe?
A right triangle ABC with sides 9 cm ,12cm and 15cm is revolved about the side 12 cm. What is the volume of the solid so obtained? (in cm 3 )
The volume of cone is 4752 cm3. If its height is 3.5 cm then find the radius of the cone.
A rectangular lawn is 60 meters X 50 meters and has two roads, each 2 meters wide, in the middle of it, one parallel to its length and the other paralle...
What is the difference between (in m2) the area of a circular field of radius 35 metres and area of a rectangular piece of land having its di...
The sum of the radius and height of a cylinder is 19m. The total surface area of the cylinder is 1,672 m² . What is the volume of the cylinder?