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Prove that `(sin "A" - 2sin^3 "A")/(2cos^3 "A" - cos "A") = tan "A"`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios is given. Find the value of the other trigonometric ratios.

`sin A = 2/3`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

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In the following, trigonometric ratios is given. Find the value of the other trigonometric ratios.

`cos A = 4/5`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios is given. Find the value of the other trigonometric ratios.

tan θ = 11

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`sin theta = 11/5`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.

`tan alpha = 5/12`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`sin theta = sqrt3/2`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`cos theta = 7/25`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.

`tan theta = 8/15`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios is given. Find the value of the other trigonometric ratios.

`cot theta = 12/5`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`sec theta = 13/5`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, trigonometric ratios are given. Find the values of the other trigonometric ratios.

`cosec theta = sqrt10`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

In the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.

`cos theta = 12/2`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `tan theta = a/b`, find the value of `(cos theta + sin theta)/(cos theta - sin theta)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If 3 tan θ = 4, find the value of `(4cos theta - sin theta)/(2cos theta + sin theta)`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If 3 cot θ = 2, find the value of  `(4sin theta - 3 cos theta)/(2 sin theta + 6cos theta)`.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `tan θ = a/b` then prove that `((a sin theta - b cos theta)/(a sin theta + b cos theta)) = ((a^2 - b^2))/((a^2 + b^2))`.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `sec θ = 13/5`, show that `(2 sin θ - 3 cos θ)/(4 sin θ - 9 cos θ) = 3`.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `cos θ = 12/13`, show that `sin θ (1 - tan θ) = 35/156`.

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined

If `cot theta = 1/sqrt3` show that  `(1 - cos^2 theta)/(2 - sin^2  theta) = 3/5`

[9] Introduction to Trigonometry
Chapter: [9] Introduction to Trigonometry
Concept: undefined >> undefined
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