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Evaluate Trig Expressions using a Calculator 1Evaluate Trig Expressions using a Calculator 1
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Question 1 of 5
1. Question
Evaluate using the calculator.`sin25°18’`Round your answer to `2` decimal places- (0.43)
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`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionFollow these steps to evaluate `sin25°18’` using your calculator.`1.` Press `sin``2.` Press `25` and DMS or `° ‘ ‘ ‘``3.` Press `18` and DMS or `° ‘ ‘ ‘` again`4.` Press `=`This will give a result of `0.4273578` or `0.43` when rounded off to `2` decimal places.`0.43` -
Question 2 of 5
2. Question
Evaluate using the calculator.`cos17°48’`Round your answer to `2` decimal places- (0.95)
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`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionFollow these steps to evaluate `cos17°48’` using your calculator.`1.` Press `cos``2.` Press `17` and DMS or `° ‘ ‘ ‘``3.` Press `48` and DMS or `° ‘ ‘ ‘` again`4.` Press `=`This will give a result of `0.95212939` or `0.95` when rounded off to `2` decimal places.`0.95` -
Question 3 of 5
3. Question
Evaluate using the calculator.`52/(tan14°39′)`Round your answer to `2` decimal places- (198.92)
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`sin` `=` Sine function`cos` `=` Cosine function`tan` `=` Tangent functionDMS or `° ‘ ‘ ‘` `=` Degree/Minute/Second`=` `=` Equal functionStart by calculating the tangent value in the denominator.Follow these steps to evaluate `tan14°39’` using your calculator.`1.` Press `tan``2.` Press `14` and DMS or `° ‘ ‘ ‘``3.` Press `39` and DMS or `° ‘ ‘ ‘` again`4.` Press `=`This will give a result of `0.261412576`.Proceed with calculating the whole given number.`tan14°39’=0.261412576``52/(tan14°39′)` `=` `52/0.261412576` `=` `198.9192743` `=` `198.92` Rounded off to `2` decimal places `198.92` -
Question 4 of 5
4. Question
Find `theta`.`sin theta=0.8155`Round your answer to the nearest degree.- `theta=` (55)`°`
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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` `=` `0.8155` `theta` `=` `sin^(-1) 0.8155` Now, follow these steps to evaluate `sin^(-1) 0.8155` using your calculator.`1.` Press Shift or 2nd F (depending on your calculator)`2.` Press `sin``3.` Press `0.8155``4.` Press `=`This will give a result of `54.6368°` or `55°` when rounded off to the nearest degree.`theta=55°` -
Question 5 of 5
5. Question
Find `theta`.`tan theta=0.8326`Round your answer to the nearest minute.- `theta=` (39)`°` (47)`'`
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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 `tan`.`tan theta` `=` `0.8326` `theta` `=` `tan^(-1) 0.8326` Now, follow these steps to evaluate `tan^(-1) 0.8326` using your calculator.`1.` Press Shift or 2nd F (depending on your calculator)`2.` Press `tan``3.` Press `0.8326``4.` Press `=`This will give a result of `39.78076529°` 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 `39°46’50.76”`.Since the seconds value, `50.76”`, is more than `30”`, we can round the minute up to `39°47’`.`theta=39°47’`
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