Question

FIND VALUE
A) tan 30° + cot 30° + sin 60°​

Answer 1

Answer:
`(4√(3) )/(3) +(1)/(2)`

Explanation:

You can either do this manually or use your calculator. Using your calculator, make sure that your calculator is in degree mode, then enter tan(30) + (1/tan(30)) + sin(60). [1/tan(30) is equal to cot(30) because tangent and cotangent are inverse functions].

Manually, use the unit circle. Tangent is sine over cosine. Sine of 30 degrees is 1/2. Cosine of 30 degrees is
`√(3) /2`. 1/2 divided by
`√(3)/2` is
`√(3)/3`. Cotangent is 1/tangent so take 1/
`√(3)/3` which is
`√(3)`. Then we already said that sine of 30 degrees is 1/2, so add them all together.

`√(3)/3+√(3)+(1)/(2)` which is equal to
`(4√(3) )/(3) +(1)/(2)` or approximately 2.8094.