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प्रश्न
`(cos^2 θ)/(sin^2 θ) - 1/(sin^2 θ)`, in simplified form, is ______.
पर्याय
tan2 θ
sec2 θ
1
–1
उत्तर
`(cos^2 θ)/(sin^2 θ) - 1/(sin^2 θ)`, in simplified form, is –1.
Explanation:
`(cos^2 θ)/(sin^2 θ) - 1/(sin^2 θ)`
= `(cos^2 θ - 1)/(sin^2 θ)`
= `(-sin^2 θ)/(sin^2 θ)` ...(∵ sin2θ = 1 – cos2θ)
= –1
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