If tanθ = 1/√7, the value of (cosec²θ − sec²θ)/(cosec²θ + sec²θ) is:

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3/4. cot²θ = 7 so cosec²θ = 1 + 7 = 8, and sec²θ = 1 + 1/7 = 8/7. The ratio is (8 − 8/7)/(8 + 8/7) = (48/7)/(64/7) = 3/4. Swapping numerator and denominator gives the distractor 4/3.

If tanθ = 1/√7, the value of (cose $c^{2}$ θ − se $c^{2}$ θ)/(cose $c^{2}$ θ + se $c^{2}$ θ) is:

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If tanθ = 1/√7, the value of (cosec2θ − sec2θ)/(cosec2θ + sec2θ) is:

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If tanθ = 1/√7, the value of (cose $c^{2}$ θ − se $c^{2}$ θ)/(cose $c^{2}$ θ + se $c^{2}$ θ) is: