find the value of all other five trigonometric functions from the given function cos=(√3)/3?

Question

sin

tan

csc

sec

cot

Answer 1

If you draw a right triangle√ and label one angle as Θ, you can label the adjacent side as √3 and the hypotenuse as 3.

Use the Pythagorean theorem to find the missing side:

√(3)² + b² = 3²

3 + b² = 9

b² = 6

b = √6

Use SOH CAH TOA to find the other ratios:

So the Sin is √6 / 3

The tan is √6/√3 or √2

The cot is √3/√6 or 1/√2 or √2/2

The csc is 3/√6 or √6/2

the sec is 3/√3 or √3/1 or √3

Answer 2

Draw a figure.

The hypotenuse is 3 and one leg is √3; the other leg is √6.

With all the sides, you just need to remember the definitions!