Question

Without using table, find the value of the following:

`(sin30° - sin90° +  2cos0°)/(tan30° tan60°)` 

Answer 1

`(sin30° - sin90° +  2cos0°)/(tan30° tan60°)`

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

= `(1/2 - 1 + 2)/(1)`

= `(1)/(2) - 1 + 2`

= `(1)/(2) + 1`

= `(3)/(2)`