circular functions math


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Circular Functions and Reciprocal Functions
Other Circular Functions (Reciprocal functions of cos , sin and tan)..
Choose which of the following represents the volume V of a right circu..
Choose which of the following represents the volume V of a right circular cylinder as a function of its radius r , when the height of it is equal to its diameter d . => V = 2 π r 3 or V = π r 2 d or V = 2 π r or V = 2 π r 2..
The height h of a right circular cylinder is twice that of its radius..
The height h of a right circular cylinder is twice that of its radius r .Which of the following represents the surface area A as a function of its radius r ? => S = 6 π r 2 or S = 6 π r or S = 4 π r 2 or S = π r 2 6..
Trigonometric functions and it's properties
- Identical properties of circular functions and trigonometric functions. Let O be the origin. Let OA be the unit radius of the circle drawn with O as centre. Let OA trace an angle when OA takes the position OP. Then The tracing of the angle q and the arc AP = P( q ) a..
Trigonometric Ratios of Multiple and Sub-multiple Angles
The following results have already been derived under Circular function..
For any two angles A and B
(i) sin(A + B) sin(A - B) = sin 2 A - sin 2 B = cos 2 B - cos 2 A (ii) cos(A + B) cos(A - B) = cos 2 A - sin 2 B = cos 2 B - sin 2 A [The proofs of the above identities are same as for Circular functions..
Circular Permutations
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regarded as the first or last place, th..
Circular Permutations
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regarded as the first or last place, they for..
Radian measure [Circular system]
A radian is the measure of an angle at the centre of a circle subtended by an arc, whose arc length is equal to the radius of the circl..
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