Trigonometric Functions

Trigonometric functions are listed in alphabetical order below. These functions are affected by the calculator's angle mode; angles may be expressed in degrees, radians, grads or cycles.

abs

Calculates the absolute value r of two values x and y, as indicated by the illustration below.

Complex Number

Absolute Value

When complex numbers are enabled, this function accepts a single complex value of the form of abs<x + yi>. When complex numbers are disabled, it accepts two separate values either side of the function, in the form of <x> abs <y>.

When used to graph a function, it returns a positive number given a single real value.

arg

Calculates the argument a of two values x and y, as indicated by the illustration below.

Complex Number

Argument

The arg function result is the counterclockwise angle from the positive x axis to the ray from the origin through the point (x, y). It is defined unless both x and y are 0. The results range from -Π to +Π when expressed in radians.

When complex numbers are enabled, this function accepts a single complex value of the form of arg<x + yi>. When complex numbers are disabled, it accepts two separate values either side of the function in the form <x> arg <y>.

The resulting value will be in units specified the calculator's angle mode.

cos

Cosine. Accepts a single value input.

cos-1 (acos)

Arc-cosine; the reverse operation of calculating the cosine. Accepts a single value input. .

cosh

Hyperbolic cosine. Press [hyp] prior to pressing [cos].

cosh-1 (acosh)

Hyperbolic arc-cosine; the reverse of the hyperbolic cosine.

hyp

Hyperbolic shift key—allows input of hyperbolic variations of sin, cos, tan, sin-1, cos-1 and tan-1.

P⇒R

Converts polar coordinates to rectangular coordinates, where the input is expressed in terms of angle and radius. The input angle should be expressed in the units specified by the calculator's angle mode.

When complex numbers are enabled, this function accepts a single complex input in the form of P⇒R(r + ti) and returns a complex result in the form of (x + yi). Additionally, the x (real) component is placed in the rx memory register, and the y (imaginary) component is stored in ty.

Complex Number

Polar & Rectangular

Complex Example:

[P⇒R] 72 [;] 1.2 (radians)
[ENTER]
Displays: 26.0897583223204976 + 67.1068141896402972i

If complex numbers are disabled, two values are accepted separately, in the the form of <r> P⇒R <t>, and only the x result is returned directly. The calculated y value can be retrieved by recalling it from the ty memory register.

Real Number Example:

72 [P⇒R] 1.2 (radians)
[ENTER]
Displays: 26.0897583223204976
[RCL] [ty]
Displays: 67.1068141896402972

See also: R⇒P.

R⇒P

Converts rectangular coordinates to polar coordinates, where the result is expressed in terms of angle and radius. The resulting angle will be in units specified the calculator's angle mode. This function is the reverse operation of P⇒R.

Complex Number

Polar & Rectangular

When complex numbers are enabled, this function accepts a single complex input in the form of R⇒P<x + yi> and returns a complex result in the form of {r + ti}. Additionally, the radius (real) component is placed in the rx memory register, and the angle (imaginary) component is stored in ty.

If complex numbers are disabled, two values are accepted separately, in the the form of <x> R⇒P <y>, and only the radius r result is returned directly. The calculated angle value can be retrieved by recalling it from the ty memory register.

See also: P⇒R.

sin

Sine. Accepts a single value input.

For example:

[sin] 0.7
[ENTER]
Displays: 0.64421768723769105 (radians)

sin-1 (asin)

Arc-sine; the reverse operation of calculating the sine. Accepts a single value input.

sinh

Hyperbolic sine. Press [hyp] prior to pressing [sin].

For example:

[hyp] [sin] 0.7
[ENTER]
Displays: 0.7585837018395335 (radians)

sinh-1 (asinh)

Hyperbolic arc-sine; the reverse of the hyperbolic sine.

tan

Tangent. Accepts a single value input.

tan-1 (atan)

Arc-tangent; the reverse operation of calculating the tangent. Accepts a single value input.

tanh

Hyperbolic tangent. Press [hyp] prior to pressing [tan].

tanh-1 (atanh)

Hyperbolic arc-tangent; the reverse of the hyperbolic tangent.

See also: General Math Functions