Question
What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan
5θ – tan 3θ)]?Solution
tan(5 θ + tan3 θ) cos4 θ (tan(5 θ  - 3 θ )) / 4 Put θ = 150, 5 θ = 750 tan 750 + tan 450 / 4 × cos 600 tan (5 θ – 3 θ) tan750 = √3 + 1 / √3 – 1                = 1 + 3 + 2√3 / 2                = 2 +√3 = 2 + √3 + 1 / 4 × ½ (2 + √3 – 1) = 3 +√3 / 2√3 + 1 = √3(1 +√3) / 2 (1 + √3) = √3 / 2 Cos2 θ Cos2 × 150 Cos 300 = √3 / 2
The sum of interior angles of a regular polygon is 1260°. Find the number of diagonals.
In a regular polygon, each interior angle is 9 times its exterior angle. The number of sides of the polygon is:
A regular polygon with 'x' sides has 54 diagonals, while another regular polygon with 'y' sides has 90 diagonals. Determine the sum of 'x' and 'y'.
A polygon has 44 diagonals. How many sides does this polygon have?
The sum of interior angles of a polygon is 1,620°.
(a) Find the number of sides of the polygon.
(b) Find the number of diagonals of this polygon.
Each interior angle of a regular polygon is 150°. Find the number of sides of the polygon.
The sum of the interior angles of a polygon is 1980 degrees. How many sides does the polygon have?
Find the number of sides in a regular polygon if its each interior angle is 160°.
The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between their interior angle is 2 : 3, the number of sides of these...
If each interior angle of a regular polygon is 135°, then the number of sides that polygon has is:
Relevant for Exams:
