In a convex polygon the interior angles ...

In a convex polygon the interior angles are in AP, the smallest angle being `120^circ` and the common difference `2^circ`. Find the sum of the sines of the interior angles of the polygon if `sin 1^circ = lambda`..

Text Solution

AI Generated Solution

Topper's Solved these Questions

Circular Functions, Identities
A DAS GUPTA|Exercise Exercise|300 Videos
Circles
A DAS GUPTA|Exercise EXERCISE|122 Videos
COMPLEX NUMBERS
A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

Some of the interior angle of the polygon is

Sum of interior angles of polygon

Find the sum of the interior angles of the an 8-sided polygon.

Find the sum of the interior angles of the polygon gives below.

Find the sum of the interior angles of a polygon of 8 sides.

The interior angles of a polygon are in A.P.the smallest angle is 120^(@) and the common difference is 5^(0). Find the number of sides of the polygon.

The interior angle of polygon are in A.P.the smallest angle is 75^(0) and the common difference is 10^(@). Find the numberof sieds of the polygon.

A DAS GUPTA-Circular Functions, Identities -Exercise

tan 22 1^circ/2 is a root of the equation - (1+x^(2))/(1- x^(2)) = sq...
Text Solution
|
If tan theta= 2 is satisfied by alpha, beta then the value of frac{tan...
Text Solution
|
Prove that sin 1^circ lt sin 1.
Text Solution
|
If sin alpha = -3/5,pi lt alpha lt 3pi/2 then cos alpha/2 = 1/sqrt10
Text Solution
|
In the following incomplete sentences fill in the blanks such that the...
Text Solution
|
If sin 17^circ *sin 43^circ *sin 77^circ = lambda sin 51^circ then lam...
Text Solution
|
In the following incomplete sentences fill in the blanks such that the...
Text Solution
|
In the following incomplete sentences fill in the blanks such that the...
Text Solution
|
In the following incomplete sentences fill in the blanks such that the...
Text Solution
|
If un = 2cos n theta then u1un - u(n-1) is equal to
Text Solution
|
If frac {x}{cos theta} = frac {y}{cos(theta -(2pi)/3)} = frac {z}{co...
Text Solution
|
If cos alpha + cos beta + cos gamma = 0 then cos 3alpha + cos 3beta + ...
Text Solution
|
tan 40^circ + 2tan 10^circ is equal to
Text Solution
|
A factor of cos 4theta - cos 4phi is
Text Solution
|
The chord AB of a circle subtends an angle of frac {2pi}{3} at a point...
Text Solution
|
If sin alpha + cos alpha = lambda then find |sin^(6) alpha - cos^(6) a...
Text Solution
|
Let f(theta) = (cos theta+ cot theta)/(sin theta+ tan theta) and the s...
Text Solution
|
Prove that sinfrac {pi}{14} is a root of the equation 8x^(3) -4x^(2) -...
Text Solution
|
In a convex polygon the interior angles are in AP, the smallest angle ...
Text Solution
|
AB and CD are two parallel chords of a circle of radius 6 cm lying on ...
Text Solution
|