Let θ∈$$($$π$$/4$$,π$$/2)$$, which of the following statements is true?

Correct option is 2(cos⁡θ)sin⁡θ<(cos⁡θ)cos⁡θ<(sin⁡θ)cos⁡θ

Questions

Let $θ \in (π / 4, π / 2)$ , which of the following statements is true?

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(cos⁡θ)cos⁡θ<(sin⁡θ)cos⁡θ<(cos⁡θ)sin⁡θ

(cos⁡θ)sin⁡θ<(cos⁡θ)cos⁡θ<(sin⁡θ)cos⁡θ

(sin⁡θ)cos⁡θ<(cos⁡θ)cos⁡θ<(cos⁡θ)sin⁡θ

(cos⁡θ)cos⁡θ<(cos⁡θ)sin⁡θ<(sin⁡θ)cos⁡θ

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detailed solution

Correct option is B

For θ∈(π/4,π/2),0(cos⁡θ)sin⁡θ(as 0

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Let θ∈(π/4,π/2), which of the following statements is true?

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Let $θ \in (π / 4, π / 2)$ , which of the following statements is true?