Problem 8Q

Express the sine of 30.0o with the correct number of significant figures.

Solution 8Q

Remarks: Each of the digits of a number that are used to express it to the required degree of accuracy, starting from the first nonzero digit is known as significant figure. The least number of significant figures in any number of the problem determines the number of significant figures in the answer.

Sine 30.0° = 0.5

Sin 30.0° has 3 significant figures.

As the least number of significant figure in sin 30.00 is 3 so the answer must have 3 significant figures.

As the answer must also have 3 significant figures.

Hence, sin 30.0° = 0.500 correct to 3 significant figures.