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Why sine function is an odd function?

The sine function is an odd function. Since y corresponds to sin(x) then this means that sin(-x) = – sin(x). The cosine is an even function which means that if (x,y) is on the graph of the function so too is the point (-x,y). Since y corresponds to cos(x) then this means that cos(-x) = cos(x).

What type of function is sine?

The sine function, along with cosine and tangent, is one of the three most common trigonometric functions. In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H).

Which trig functions are odd?

Cosine and secant are even; sine, tangent, cosecant, and cotangent are odd. Even and odd properties can be used to evaluate trigonometric functions.

Which function is an odd function?

A function with a graph that is symmetric about the origin is called an odd function. Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd.

Which of the following is not an odd function?

Hence, options (a) and (d) are the functions which are not odd functions.

How can you prove that sin is odd?

You need to remember the definition of an odd function: f(-x) = -f(x). You may consider sin(-x) = sin(0-x). The last line proves that sin(-x) = -sin x, hence the sine function is odd.

What is an odd function times an odd function?

An even function times an odd function is odd, and the product of two odd functions is even while the sum or difference of two nonzero functions is odd if and only if each summand function is odd. The product and quotient of two odd functions is an even function.

How do you integrate an odd function?

The rules for integrating even and odd functions

  1. If the function is even or odd and the interval is [ − a , a ] [-a,a] [−a,a], we can apply these rules:
  2. When f ( x ) f(x) f(x) is even,
  3. When f ( x ) f(x) f(x) is odd,

Which gate is equivalent to an odd function?

XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or; that is, a true output results if one, and only one, of the inputs to the gate is true.

Which gate depends on even and odd condition?

XOR/XNOR/Odd Parity/Even Parity Gate

Library: Base
Introduced: 2.0 Beta 1 for XOR/Odd/Even; 2.0 Beta 6 for XNOR

Which gate is called All or Nothing?

A logic gate is an electronic circuit that makes logical decisions. It allows a signal either to pass or stops through it. OR gate is known as any-or-all gate because an output occurs when any or all the inputs are present. AND gate is an all-or-nothing gate as output occurs only when all its inputs are present.

Is there an XAND gate?

The XAND Gate stands for “exclusive and” referring to its architecture as a logic gate wherein a positive output is only achieved if both inputs are equal. The XAND gate works synonymously as the XNOR gate, also called the equivalence gate. Logic gates are widely applicable, and commonly found in modern electronics.

What does the NOT gate do?

A NOT gate performs logical negation on its input. In other words, if the input is true, then the output will be false. Similarly, a false input results in a true output.

How many NOR gates are required for Xnor?

four NOR gates

What is the minimum number of NOR gates needed?


How do you make NOR gates without Gates?

Simple trick to using a NAND or NOR gate to create an Inverter or NOT gate. If you tie one input into both inputs of the NAND or NOR gate, it will create the equivalent of a NOT gate. This can be useful when you are already using a larger IC NAND or NOR chip and you need to throw an inverter in there.

How do you make NOR gates with NAND?

To make a NOR gate perform the NAND function, we must invert all inputs to the NOR gate as well as the NOR gate’s output. For a two-input gate, this requires three more NOR gates connected as inverters.

How many NAND gates does it take to make a NOR gate?

four NAND gates

Why NAND and NOR are called universal gates?

∴ NAND and NOR gates are called universal gates because they can be combined to produce any of the other gates like OR, AND, and NOT gates. Hence the correct option is option (B).