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Compound Interest class 8 chapter6(notes) maths definition, formula

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Compound Interest Definition Compound interest is the interest calculated on the principal and the interest accumulated over the previous period. It is different from the simple interest where interest is not added to the principal while calculating the interest during the next period. Compound interest finds its usage in most of the transactions in the banking and finance sectors and also in other areas as well. Some of its applications are: Increase or decrease in population. The growth of bacteria. Rise or depreciation in the value of an item. Compound Interest Formula The compound interest formula is given below: Compound Interest = Amount – Principal Where the  amount  is given by: Where, A= amount P= principal R= rate of interest n= number of times interest is compounded per year It is to be noted that the above formula is the general formula for the number of times the principal is compounded in an year. If the amount is compounded annually, the amount is given as- ...
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Inverse Trigonometric Functions# Class 12 Notes Maths Chapter 2

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Inverse Trigonometric Functions Class 12 Notes Maths Chapter 2 CBSE Class 12 Maths Notes Chapter 2 Inverse Trigonometric Functions Inverse Trigonometric Functions:  Trigonometric functions are many-one functions but we know that inverse of function exists if the function is bijective. If we restrict the domain of trigonometric functions, then these functions become bijective and the inverse of trigonometric functions are defined within the restricted domain. The inverse of f is denoted by ‘f -1 ‘. Let y = f(x) = sin x, then its inverse is x = sin -1  y. Domain and Range of Inverse Trigonometric Functions sin -1 (sinθ) = θ; ∀ θ ∈  cos -1 (cosθ) = θ; ∀ θ ∈ [0, π] tan -1 (tanθ) = θ; ∀ θ  cosec -1 (cosecθ) = 0; ∀ θ ∈   , θ ≠ 0 sec -1 (secθ) = θ; ∀ θ ∈ [0, π], θ ≠  cot -1 (cotθ) = θ; ∀ θ ∈ (0, π) sin(sin -1  x) = x, ∀ x ∈ [-1, 1] cos(cos -1  x) = x; ∀ x ∈ [-1, 1] tan(tan -1 x) = x, ∀ x ∈ R cosec(cosec -1 x) = x, ∀ x ∈ (-∞, -1] ∪ [1, ∞) sec(sec -1 ...
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ASSIGNMENT FOR CLASS 10 PROBABILITY

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PROBABILITY Class 10th Q1) One card is drawn from the deck of 52 playing cards. Find the probability of getting A ) A face card [3/13] b) A red face card [3/26] C ) A spade card [1/4] d) A king of red color [1/26] E ) A jack of heart [1/52] f) An ace card [1/13] g) A card of spade or ace [4/13] h) Either king or queen [2/13] i) Neither king nor queen [11/13] j) neither red nor queen [6/13] k) 10 of black suit [1/26] Q 2) A bag contains 3 white, 4 red, and 7 black balls. Find the probability of getting a) a black ball [1/2] b) A red or a black ball [11/14] c) A red white or black ball [1] d) not a red ball [5/7] e) neither white nor black ball [2/7] f) Not a white ball [11/14] Q 3) Two dice are thrown , what is the probability of getting a) Difference of the numbers on the two dice is 2 [2/9] b) sum of numbers on the two dice is 10 [1/12] c) Sum of numbers on two dice is more than 9 [1/6] d) A total of 9 or 11 [1/6] e) Both are odd number [1/4] f) Six as a product ...
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