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Q. Show Inverse Trigonometric Functions?
Ans.
Many functions, including trig functions, are invertible. The inverse of trig functions are called ‘inverse trig functions'. Here is a table that summarizes the names and symbols used for the most common inverse trig functions:
IMPORTANT: You have most likely seen the negative superscript symbol used before to denote an exponent. Although the symbol is the same, when we deal with functions, the meaning is different.
acsin and sin-1 mean the same thing. These functions are the inverse of sine.
Here are some examples. For simplicity, suppose we are only concerned with angles in the first quadrant.
Since then .
It may help if you think of the arcsine function as giving you back the angle you would need to take the sine of
Find out the domain of each of the following. (a) f (x,y) = √ (x+y) (b) f (x,y) = √x+√y (c) f (x,y) = ln (9 - x 2 - 9y 2 ) Solution (a) In this example we know
The ratio between the length and breadth of a rectangular field is 11:7. The cost of fencing it is Rs. 75,000. Find the dimensions of the field
Q. How to divide two fractions?If you want to divide two fractions, You invert the second fraction (that means, turn it upside-down) and multiply (change the division to a
Gm signal is better than am signal becuase
Explain Histogramsin details? Another way to display frequencies is by using a histogram. The following is an example of a histogram using the data from the previous example:
Sam''s sport''s equipment sells footballs. They maximized their profitability last year at (6,4) where x represents employees and P(x) represents profitability. Sam noticed that wh
There are 20 defective bulbs in a box of 100 bulbs.if 10bulbs are choosen at random then what is the probability of there are just 3defective bulbs
Solving Algebraic Word Problems: What are the capacities of two water storage tanks in a nuclear facility if one holds 9 gallons less than three times another, and their whole
1 . The probability that a couple will have a child with black hair is 0.6. If this couple has 7 children what is (a) the probability that exactly 3 of these children have bl
The grade resistance is F=W sin θ, where θ is the grade and W is the weight of the automobile. What is the grade resistance of a 2500 pound car traveling on a 2.6 degree uphill gr
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