Question

100 points guys_____________



write all other trigonometric ratios of tan A​

Answer 1

Answer:

✨ Express the Tan θ in terms of Tangent.

The Tan θ is already expressed as a tangent so:

Tan θ = Tan θ

Express the Sec θ in terms of Tangent.

One of the Pythagorean Identities involves only the Tan θ and the Sec θ. That identity is:

Sec2 θ = 1 + Tan2 θ

Solve for the Sec θ by taking the square root of each side.

Sec θ = (1 + Tan2 θ)1/2 or

___________

Sec θ = √ 1 + Tan2 θ

Express the Cos θ in terms of Tangent

The Cos θ is the reciprocal of the Sec θ so:

1 1

Cos θ = ------ = -------------

Sec θ √ 1 + Tan2 θ

Express the Cot θ in terms of Tangent

The Cot θ is the reciprocal of the Tan θ so:

1

Cot θ = -------

Tan θ

Express the Sin θ in terms of Tangent

The Tan θ can be expressed as:

Sin θ

Tan θ = --------

Cos θ

Solve the equation for the Sin θ

Sin θ = (Tan θ)(Cos θ)

Replace the Cos θ with

1

Cos θ = ------------

√ 1 + Tan2 θ

(Tan θ) (1) Tan θ

Sin θ = -------- ------------- = -------------

1 √ 1 + Tan2 θ √ 1 + Tan2 θ

Express the Csc θ in terms of Tangent

The Csc θ is the reciprocal of the Sin θ so:

1 √ 1 + Tan2 θ

Csc θ = ------ = -------------

Sin θ Tan θ

Answer 2

Answer:You have to give the value of tana

Step-by-step explanation:

See, ratios are Sina, cosa, tana, cota, coseca, seva

If tana is x/y, then:

x²+y²= hypotenuse²

Thus sina=x÷(√x²+y²)

Cos a= Sina/tana

Seca=1/cosa,

coseca=1/Sina

Cota=1/tana

I have given the expressions for all, now you can put the value and get the answer. I couldn't since you haven't given the values

Plz mark brainliest