Question

If `sqrt(2) = 1.414 and sqrt(3) = 1.732`, find the value of the following correct to two decimal places tan60°

Answer 1

Given: `sqrt(2) = 1.414 and sqrt(3) = 1.732`
a. tan60°
= `sqrt(3)`
= 1.732
= 1.73
b. sin45° cos30° 

= `(1)/sqrt(2) xx sqrt(3)/(2)`

= `sqrt(3)/(2sqrt(2)`

= `(1.732)/(2 xx 1.414)`

= `(1.732)/(2.828)`
= 0.61.