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Evaluate Trig Expressions using a Calculator 2Evaluate Trig Expressions using a Calculator 2
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Question 1 of 4
1. Question
Find `theta`.`cos theta=0.9726`Round your answer to the nearest degree. `theta=` (13)`°`
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Shift or 2nd F or INV `=` Inverse function`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionTo solve for `theta`, it has to be alone on one side of the equation.We can do this by getting the inverse of `cos`.`cos theta` `=` `0.9726` `theta` `=` `cos^(1) 0.9726` Now, follow these steps to evaluate `cos^(1) 0.9726` using your calculator.`1.` Press Shift or 2nd F (depending on your calculator)`2.` Press `cos``3.` Press `0.9726``4.` Press `=`This will give a result of `13.4434139°` or `13°` when rounded off to the nearest degree.`theta=13°` 
Question 2 of 4
2. Question
Find `theta`.`sin theta=0.1633`Round your answer to the nearest minute. `theta=` (9)`°` (24)`'`
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Shift or 2nd F or INV `=` Inverse function`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionTo solve for `theta`, it has to be alone on one side of the equation.We can do this by getting the inverse of `sin`.`sin theta` `=` `0.1633` `theta` `=` `sin^(1) 0.1633` Now, follow these steps to evaluate `sin^(1) 0.1633` using your calculator.`1.` Press Shift or 2nd F (depending on your calculator)`2.` Press `sin``3.` Press `0.1633``4.` Press `=`This will give a result of `9.39849°` which is a decimal degree. In order to round this number off to the nearest minute, one last step is needed.`5.` Press DMSFinally, this will give a result of `9°23’54.57”`.Since the seconds value, `54.57”`, is more than `30”`, we can round the minute up to `9°24’`.`theta=9°24’` 
Question 3 of 4
3. Question
Find acute angle `theta`.`sin theta=8/10`Round your answer to the nearest minute. `theta=` (53)`°` (8)`'`
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Calculator Buttons to Use
Shift or 2nd F or INV `=` Inverse function`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionRounding Off to the Nearest Minute
If the seconds is greater than or equal to `30”`, round the minute up.
If the seconds is less than `30”`, round the minute down.To solve for `theta`, it has to be alone on one side of the equation.We can do this by getting the inverse of `sin`.`sin theta` `=` `8/10` `theta` `=` `sin^(1)` `8/10` Now, follow these steps to evaluate `sin^(1)` `8/10` using your calculator.`1.` Press Shift or 2nd F (depending on your calculator)`2.` Press `sin``3.` Press `8``4.` Press `divide``5.` Press `10``6.` Press `=`This will give a result of `53.1301°`.To round off the result to the nearest minute, press the DMS button and check the seconds value.`53.1301°=53°7’``43.37”`Since `43.37”` is greater than `30”`, we can round the minute up to `53°8’`.`theta=53°8’` 
Question 4 of 4
4. Question
Find acute angle `theta`.`tan theta=3/7`Round your answer to the nearest minute. `theta=` (23)`°` (12)`'`
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Calculator Buttons to Use
Shift or 2nd F or INV `=` Inverse function`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionRounding Off to the Nearest Minute
If the seconds is greater than or equal to `30”`, round the minute up.
If the seconds is less than `30”`, round the minute down.To solve for `theta`, it has to be alone on one side of the equation.We can do this by getting the inverse of `tan`.`tan theta` `=` `3/7` `theta` `=` `tan^(1)` `3/7` Now, follow these steps to evaluate `tan^(1)` `3/7` using your calculator.`1.` Press Shift or 2nd F (depending on your calculator)`2.` Press `tan``3.` Press `3``4.` Press `divide``5.` Press `7``6.` Press `=`This will give a result of `23.19859°`.To round off the result to the nearest minute, press the DMS button and check the seconds value.`23.19859°=23°11’``54.93”`Since `54.93”` is greater than `30”`, we can round the minute up to `23°12’`.`theta=23°12’`
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