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(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

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Mathematics
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Find the value of x, if sin x = sin 60° cos 30° + cos 60° sin 30°

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Find the value of x, if cos x = cos 60° cos 30° – sin 60° sin 30°

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

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Find the value of x, if tan x = `(tan60^circ - tan30^circ)/(1 + tan60^circ tan30^circ)`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Find the value of x, if sin 2x = 2 sin 45° cos 45°

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Find the value of x, if sin 3x = 2 sin 30° cos 30°

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Find the value of x, if cos (2x – 6) = cos2 30° – cos2 60°

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Find the value of angle A, where 0° ≤ A ≤ 90°.

sin (90° – 3A) . cosec 42° = 1

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Find the value of angle A, where 0° ≤ A ≤ 90°.

cos (90° – A) . sec 77° = 1

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove that:

`(cos(90^circ - theta)costheta)/cottheta = 1 - cos^2theta`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Prove that:

`(sinthetasin(90^circ - theta))/cot(90^circ - theta) = 1 - sin^2theta`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Evaluate:

`(sin35^circ cos55^circ + cos35^circ sin55^circ)/(cosec^2 10^circ - tan^2 80^circ)`

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find sine of 21°

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find sine of 34° 42'

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find sine of 47° 32'

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find sine of 62° 57'

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find sine of 10° 20' + 20° 45'

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find cosine of 2° 4’

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find cosine of 8° 12’

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find cosine of 26° 32’

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined

Use tables to find cosine of 65° 41’

[17] Trigonometrical Identities
Chapter: [17] Trigonometrical Identities
Concept: undefined >> undefined
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