Question Video: Calculating the Sine Function of a Given Angle | Nagwa Question Video: Calculating the Sine Function of a Given Angle | Nagwa

Question Video: Calculating the Sine Function of a Given Angle Mathematics • Third Year of Preparatory School

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Use a calculator to find sin 6.4° to four decimal places.

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Video Transcript

Use a calculator to find sin of 6.4 degrees to four decimal places.

Before starting this question, it is important that we set our calculator to the correct mode. And in this specific question, we need to be in degrees. This is usually represented by the letter D in the top right-hand corner of our calculator display. Alternatively, we might find the letters Deg. Once we have checked the calculator is in the correct mode, we are ready to proceed.

We want to calculate the sin of 6.4 degrees, so we begin by pressing the sin button. When we press this button, a left-hand parenthesis appears on the screen. We now type the argument, in this case 6.4. Finally, we need to close the parentheses. Whilst this is not strictly required in this question, it will be required when dealing with more complicated problems.

We can then evaluate this expression by pressing the equals button on our calculator. The sin of 6.4 degrees is equal to 0.1114689 and so on. Trigonometric functions rarely give us an exact value. And in this case, we are asked to round our answer to four decimal places. As the fifth digit after the decimal point is a six, we need to round up. The sin of 6.4 degrees to four decimal places is 0.1115.

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