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Question
Do as directed:
sin θ = 0.96, find the value of cot θ + cosec θ.
Sum
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Solution
Given:
sin θ = 0.96
Step 1:
cosec θ = `1/sin θ` = `1/0.96 = 1.0416`
cot θ = `sqrt("cosec"^2 θ − 1)`
cosec2 θ = `(1.0416)^2 ≈ 1.085`
cot θ = `sqrt1.085 − 1 = sqrt0.085 ≈ 0.291`
cot θ + cosec θ ≈ 0.291 + 1.0416 = 1.3326 ≈ `1 1/3`
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