Is it true or false that the cosine function is an odd function?
False; the cosine function is an even function as cos(-x) = -cos(x).
It is FALSE.
Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function. Read More
I find it convenient to express other trigonometric functions in terms of sine and cosine - that tends to simplify things. The secant function is even because it is the reciprocal of the cosine function, which is even. The tangent function is the sine divided by the cosine - an odd function divided by an even function. Therefore it is odd. The cosecant is the reciprocal of an odd function, so it is naturally also… Read More
false. it is always even Read More
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even. Read More
A basic wave function is a sine or cosine function whose amplitude may have a value other than 1. The cosine function is an even function because it is symmetrical about the y-axis. That is, f(-x) = f(x) for all x. The sine function is an odd function because it is antisymmetrical about the y-axis. That is, f(-x) = -f(x) for all x. Read More
You use an even function if f(-x) = f(x) for all x.You use an odd function if f(-x) = -f(x) for all x. and you use neither if there is at least one point for which one or the other of the above is not true. Most functions are neither even nor odd. Read More
False. The sum of 3 and 3 is 6. And 6 is even. The product of two odd numbers is always odd. false the sum of 2 odd numbers is always even 3+3=6 5+5=10 103+103=206 Read More
False. An enormous number of them are divisible by three. Read More
false even not odd 7 + 3 = 10 41 + 5 = 46 and so on ... . when you add 2 odd numbers your answer will always be even Read More
For any number n you could use * (n % 2 == 0), which would be true for an even number, false for odd For an integer i, a simpler method would be * (i & 1), which would be true for an odd number, false for even Read More
Is it true or false that when you add 2 odd numbers together you will alwayse end up with an odd number?
No because if you add 5+1=6 and 6 is an even number. So it is false. Read More
Look at the statement If 9 is an odd number, then 9 is divisible by 2. The first part is true and second part is false so logically the statement is false. The contrapositive is: If 9 is not divisible by 2, then 9 is not an odd number. The first part is true, the second part is false so the statement is true. Now the converse of the contrapositive If 9 is not an… Read More
The sum of three whole odd numbers will always be odd keeping in mind that zero is neither even nor odd and that 'null' is not a number. Read More
False because 2 is an even number which is also a prime number. Read More
That is false. Two is a prime number and two is even. Read More
Yes, except at odd multiples of pi/2 radians, where the cosine is zero so that the division is not defined. Read More
No. Cosine, along with sec, is an even function. The odd functions are sin, tan, csc, and cot. The reason for this is because is you take the opposite of the y-value for the cosine function, the overall value of the function is not affected. Take, for example, cos(60 degrees), which equals POSITIVE 1/2. If you flip it over the x-axis, making the y's negative, it becomes cos(-60 degrees), or cos(300 degrees). This equals POSITIVE… Read More
Any set of three odd integers must be odd - for example, 3 + 5 + 7 = 15. Similarly, the sum of an even number of odd integers added together will always be an even integer. Read More
False. In fact, the opposite is true: all pyramids have an even number of edges. Read More
false three numbers not four 3 5 7 Read More
Cosine is a periodic function which is continuous and oscillates between +1 and -1. Therefore, from time to time, it must be 0. cos(x) = 0 whenever x = k*pi/2 for all odd integer values of k (pi/2, 3pi/2, 5pi/2 and so on). Read More
A "zero of a function" is a point where the dependent value (usually, Y) is zero. In the function f(x) = x2 - 2, for example, there are zeroes at -1.414 and +1.414. The zeroes of the sine function are at all integer multiples of pi, i.e. 0, pi, 2pi, 3pi, etc. The zeroes of the cosine function are at the same points plus pi/2, i.e. pi/2, 3pi/2, 5pi/2, etc. Another way to look at… Read More
The domain of a function is the set of values of the independent variable for which the function is valid. In practice, this is the allowable values of X or, in this case, theta. The sine and cosine functions have a domain of all numbers from negative infinity to positive infinity. The tangent function, however, is sine(theta) / cosine(theta). Cosine(theta) has value of zero at theta equal to pi / 2, 3pi/2, 5pi/2, ... in… Read More
One possible conjecture is that the product of two odd integers is 8. A conjecture does not have to be true, nor does it have to be sensible. It must be testable, though. Many conjectures were initially thought to be sensible and true but later proven to be false. And when the false nature is fully understood, in retrospect they no longer appear sensible either! Read More
The only way a function can be both even and odd is for it to ignore the input, i.e. for it to be a constant function. e.g. f(x)=4 is both even and odd. An even function is one where f(x)=f(-x), and an odd one is where -f(x)=f(-x). This doesn't make sense. Let's analyze. For a function to be even, f(-x)=f(x). For a function to be odd, f(-x)=-f(x). In this case, f(x)=4, and f(-x)=4. As such… Read More
Determine the truth value what statement Rembrandt was a famous painter and all prime numbers are odd?
p: Rembrandt was a famous painter q: All prime numbers are odd p ^ q P is a true statement , and q is a false statement. T ^ F = F If the entire statement is not true, then it is false. The truth value for this statement is False. Answer 2: Of course all prime numbers are odd. If they were even they would be divisible by 2. So both statements are true… Read More
An even function is a function that creates symmetry across the y-axis. An odd function is a function that creates origin symmetry. Read More
False. eg 3 * 3 = 9 --> an odd number. Read More
An even function is symmetric about the y-axis. An odd function is anti-symmetric. Read More
That is false. The number 2 is even. Read More
False. let the integers be n, n+1 and n+2 3n+3 is there sum and we need this to be even for all integers n. if n is odd, then 3n is odd ( take n=5 3x5=15 odd) any odd number +3 is even. if n is even, then 3n is even and an even number plus and 3 is odd so the answer is false You could just say or prove it is false with… Read More
For a function to be even, f(x)=f(-x) for all x For a function to be odd: -f(x) = f(-x) for all x Applying this to your formula, assume that the function is even. Then for x = 2 2^4 + 1/2^3 - 2(2) = (-2)^4 + 1/(-2)^3 - 2(-2) simply this cannot be true and therefore it is not even. This approach should be done using x and -x in the place of a number… Read More
Odd Function Read More