Question

Find the value of the following without using a table:

tan 30° × tan 60° + cos 0° + sec 60°

Answer 1

Given:

tan 30° × tan 60° + cos 0° + sec 60°

Step 1:

`tan 30° = 1/sqrt3, tan 60° = sqrt3

cos 0° = 1, sec 60° = 2`

Step 2:

tan 30° × tan 60°

= `1/sqrt3 × sqrt3 = 1.`

1+ 1 + 2 = 4 

tan 30° × tan 60° + cos 0° + sec 60° = 4