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II. Function Keys
G. Trigonometric Keys
There are three trigonometric functions and three inverse trigonometric functions that are built into the TI-83 and the TI-84. The MODE (radian/degree) will affect the output of the trigonometric functions. In radian mode you will often use
. You can access
.
1.
(sine)
(cosine)
(tangent) keys are the main trigonometric keys. You can evaluate these functions for any real number for which the function is defined. The mode will determine the output so it is important that you check the setting before evaluation of the function.
Radian Mode
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Sine
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Cosine
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Tangent
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2. Cosecant, Secant, and Cotangent are not built in to the TI-83 or the TI-84 so you will have to use the reciprocal key or put the expression in rational form to evaluate. You have to be careful with coefficients. The coefficients should not be placed in the denominator.
Radian Mode
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csc(3.1)
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4sec(-5.1)
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-2cot(1.5)
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3.
are the three trigonometric inverse functions that are built in to the TI-83. The mode (radian/degree) will determine the output.
(a) The input for
must be in the interval [-1,1] and the output will be in the range
in radian mode and the output will be
in degree mode. If you enter a number outside the range [-1,1] you will get an error message.
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Radian
Mode
|
Degree
Mode
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Complex
answer
for nonreals. |
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(b) The input for the
function must be in the range [-1,1]. The output in radian mode will be in the range
and will be in the range
in degree mode. If you enter a number outside the range [-1,1] you will get an error message.
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Radian
Mode
|
Degree
Mode
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Mix
functions.
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(c) The input for
can be any real number. The output will be in the range
in radian mode and
in degree mode.
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Radian
Mode
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Degree
Mode
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Mix
functions.
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