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If 5 secθ – 12 cosecθ = 0, find the values of secθ, cosθ, and sinθ.

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

If tanθ = 1 then, find the value of

`(sinθ + cosθ)/(secθ + cosecθ)`

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

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Prove that:

cos2θ (1 + tan2θ)

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove that:

\[\sqrt{\frac{1 - \sin\theta}{1 + \sin\theta}} = \sec\theta - \tan\theta\]
[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove that:

(secθ - cosθ)(cotθ + tanθ) = tanθ.secθ.

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove that:

\[\cot\theta + \tan\theta = cosec\theta \sec\theta\]
[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove that: `1/"sec θ − tan θ" = "sec θ + tan θ"`

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove that:

\[\sec\theta + \tan\theta = \frac{\cos\theta}{1 - \sin\theta}\]
[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove that:
If \[\tan\theta + \frac{1}{\tan\theta} = 2\], then show that \[\tan^2 \theta + \frac{1}{\tan^2 \theta} = 2\]

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Find the point on X-axis which is equidistant from P(2, –5) and Q(–2, 9).

[5] Co-ordinate Geometry
Chapter: [5] Co-ordinate Geometry
Concept: undefined >> undefined

Prove that:

\[\sec^4 A\left( 1 - \sin^4 A \right) - 2 \tan^2 A = 1\]
[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Choose the correct alternative answer for the following question.
sin \[\theta\] cosec \[\theta\]= ?

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Choose the correct alternative answer for the following question.
cosec 45° =?

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Choose the correct alternative answer for the following question.

1 + tan2 \[\theta\]  = ?

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Choose the correct alternative answer for the following question.

When we see at a higher level, from the horizontal line, angle formed is ........
 
[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove the following.

secθ (1 – sinθ) (secθ + tanθ) = 1

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove the following.
(secθ + tanθ) (1 – sinθ) = cosθ

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove the following.
sec2θ + cosec2θ = sec2θ × cosec2θ 

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove the following.
cot2θ – tan2θ = cosec2θ – sec2θ

[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined

Prove the following.

\[\frac{1}{1 - \sin\theta} + \frac{1}{1 + \sin\theta} = 2 \sec^2 \theta\]
[6] Trigonometry
Chapter: [6] Trigonometry
Concept: undefined >> undefined
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