User manual TEXAS INSTRUMENTS TI-30XS

[. . . ] TI-30XS MultiViewTM and TI-30XB MultiViewTM Scientific Calculator Important information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Examples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Display contrast . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 Home screen . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . [. . . ] If you insert an expression as the exponent, you must place it between parentheses. 16 G %b Copyright 2006 Texas Instruments Incorporated %c Calculates the nth root of any positive value and any odd integer root of a negative value. The TI-30XS MultiViewTM calculator evaluates expressions entered with F and a from left to right in both Classic and MathPrintTM modes. Examples 5G2"T4GD2T1E < 10 G M 2 < %b 49 < %b 3 G 2 " T 2 G 4 < 6 %c 64 < 2a< Pi g = 3. 141592653590 for calculations. = 3. 141592654 for display. Copyright 2006 Texas Instruments Incorporated 17 Example 2Vg< n Problem What is the area of a circle if the radius is 12 cm?The area of the circle is approximately 452. 4 square cm when rounded to one decimal place. Angle menu %I %I displays the choice of two submenus that enable you to specify the angle unit modifier as degrees (), minutes ('), seconds ("); radian (r); gradian (g), or convert units using DMS. You can also convert between rectangular coordinate form (R) and polar coordinate form (P). (See Rectangular to Polar for more information. ) Choose an angle mode from the mode screen. Entries are interpreted and results displayed according to the angle mode setting without needing to enter an angle unit modifier. Copyright 2006 Texas Instruments Incorporated 18 Examples RAD p"< -> 3 0 %I 1E< DEG p< - 2 g% I 4 < 4DMSS 1 8 5 %I 6 < Problem Two adjacent angles measure 12 31 45 and 26 54 38 respectively. -p$$"""< -12 %I 1 31 %I2 45 %I 3 T 26 %I1 54 %I 2 38 %I 3 < Copyright 2006 Texas Instruments Incorporated 19 %I 6 < The result is 39 degrees, 26 minutes and 23 seconds. Problem It is known that 30 = p / 6 radians. Then set the calculator to radian mode and calculate the sine of p / 6 radians. -> 30 E< p"<- > g q 6 " E< Retain radian mode on the calculator and calculate the sine of 30. Change the calculator to degree mode and find the sine of p / 6 radians. > 30 %I <E< p<>gq6"%I4 E< Rectangular to polar %I %I displays a menu to convert rectangular coordinates (x, y) to polar coordinates (r, q) or vice versa. Set Angle mode, as necessary, before starting calculations. Copyright 2006 Texas Instruments Incorporated 20 Example Convert polar coordinates (r, q)=(5, 30) into rectangular coordinates. Then convert rectangular coordinates (x, y) = (3, 4) into polar coordinates. R P -p $$""< -%I"3 5 %` 30 E< %I"4 5 %` 30 E< %I"1 3 %` 4 E< %I"2 3 %` 4 E< Converting (r, q) = (5, 30) gives (x, y) = (4. 3, 2. 5) and (x, y) = (3, 4) gives (r, q) = (5. 0, 53. 1). Trigonometry >?@ %Z[\ Enter trigonometric functions (sin, cos, tan, sin-1, cos-1, tan-1), just as you would write them. Set the desired Angle mode before starting trigonometric calculations. Example Degree Mode Tan p$$<@ 45 E < %\1E< Tan-1 Cos 5 V ?60 E < Copyright 2006 Texas Instruments Incorporated 21 Example Radian Mode Tan p"<- @ gq4 "E < %\1 E< Tan-1 n Cos 5 V?gq4 "E < n Problem Find angle A of the right triangle below. Reminder: 7 7 tan A = - therefore mA = tan-1 - 3 3 mA + mB + 90 = 180 therefore mB = 90 - mA c= 3 +7 2 2 A 3 C 7 c B p$$""< Copyright 2006 Texas Instruments Incorporated 22 -%\ 7 q 3 "E< 90 U%i< %b 3 FT 7 F< n To one decimal place, the measure of angle A is 66. 8, the measure of angle B is 23. 2, and the length of the hypotenuse is 7. 6 meters. Hyperbolics %Y % Y displays the HYP indicator and accesses the hyperbolic function of the next trigonometry key that you press. Angle modes do not affect hyperbolic calculations. Example HYP %Y>5 ET2 < ##<!!!!!%Y%Z< Copyright 2006 Texas Instruments Incorporated 23 Logarithm and exponential functions A B %] %^ A yields the common logarithm of a number. % ^ raises e to the power you specify. Examples LOG A1 E < LN B1 5EV2< %]A2E< A% ] 5 " E < % ^ 85 < 10 x ex Constant %l % l turns Constant feature on and lets you define a constant. [. . . ] In statistics, n = 1. Copyright 2006 Texas Instruments Incorporated 40 DOMAIN -- You specified an argument to a function outside the valid range. For TAN: x = 90, -90, 270, -270, 450, etc. , and equivalent for radian mode. EQUATION LENGTH ERROR -- An entry exceeds the digit limits (80 for stat entries or 47 for constant entries); for example, combining an entry with a constant that exceeds the limit. FRQ DOMAIN -- FRQ value (in 1-Var stats) < 0 or > 99, or not an integer. [. . . ]