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Theorem 3
General solution of tan q = k - Let a be the least positive angle, such that tan a = k . tan q = tan a . Also tan ( p + a ) = tan a = k. q = a or p + a = any other co-terminal angle q = a , 2 p + a , 4 p + a , . . . . . , p + 2 p + ( p + a ) . . ...
Theorem 4
General solution of acos q + bsin q = ..
Theorem 2
General solution of cos q = ..
Theorem4
The medians of a triangle pass through the same point which divides each of the medians in the ratio 2:1..
Theorem 3
General solution of tan q = ..
Corollary of Theorem
If one side of a triangle is produced, the exterior angle so formed is equal to the sum of the interior opposite angles. In ABC, BC is produced to D. If in a triangle ABC, the bisectors of the angles ABC and ACB meet at M, pr..
If one side of a triangle is produced, the exterior angle so formed is equal to the sum of the interior opposite angles. In ABC, BC is produced to D. If in a triangle ABC, the bisectors of the angles ABC and ACB meet at M, pr..Theorem 4
Statement - The medians of a triangle pass through the same point which divides each of the medians in the ratio 2:1..
Statement - The medians of a triangle pass through the same point which divides each of the medians in the ratio 2:1..Baye's Theorem
Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exhaustive events such that P(A i ) 0 for all i. Then for any event A which is a subset of We hav..
Let S be a sample space. If A 1 , A, A 3 ... A n are mutually exclusive and exhaustive events such that P(A i ) 0 for all i. Then for any event A which is a subset of We hav..Theorem 2
\ s r q Hence the magnitude of an angle in circular measu..
\ s r q Hence the magnitude of an angle in circular measu..Theorems on Relations and Functions
Theorem 1..
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