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Test: Trigonometric Identities - 2 - Question 1

If a sin 45^{0} = b cosec 30^{0}, what is the value of a^{4}/b^{4}?

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Test: Trigonometric Identities - 2 - Question 2

If the value of α + β = 90^{0}, and α : β = 2 : 1, then what is the ratio of cos α to cos β ?

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Test: Trigonometric Identities - 2 - Question 3

If tan θ - cot θ = 0, what will be the value of sin θ + cos θ?

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Test: Trigonometric Identities - 2 - Question 4

If the value of θ + φ = π/2, and sin θ = 1/2, what will be the value of sinφ?

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Test: Trigonometric Identities - 2 - Question 5

What will be the value of 1 - 2sin^{2} θ, if cos^{4} θ - sin^{4} θ = 2/3?

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Test: Trigonometric Identities - 2 - Question 6

What is the value of sin θ/(1 + cos θ) + sin θ/(1 - cos θ), where (0^{0} < θ < 90^{0})?

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Test: Trigonometric Identities - 2 - Question 8

What is the value of tan3θ, If tan7θ.tan2θ = 1?

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Test: Trigonometric Identities - 2 - Question 9

If sin (θ + 18^{0}) = cos 60^{0}, then what is the value of cos5θ, where 0^{0} < θ < 90^{0}?

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Test: Trigonometric Identities - 2 - Question 10

What will be the simplified value of (sec A sec B + tan A tan B)^{2} - ( sec A tan B + tan A sec B)^{2}?

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Test: Trigonometric Identities - 2 - Question 11

What will be the value of sec^{4} θ - tan^{4} θ, if sec^{2} θ + tan^{2} θ = 7/12?

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Test: Trigonometric Identities - 2 - Question 12

If r cosθ = √3, and r sinθ = 1, what is the value of r^{2} tanθ?

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Test: Trigonometric Identities - 2 - Question 13

If the value of tan^{2} θ + tan4 θ = 1, what will be the value of cos^{2} θ + cos^{4} θ?

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Test: Trigonometric Identities - 2 - Question 14

If the value of sin A + cosec A = 2, then what is the value of sin7 A + cosec7 A?

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Test: Trigonometric Identities - 2 - Question 15

What is the value of (sin 30^{0} + cos 60^{0}) - (sin 60^{0} + cos 30^{0})?

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