Evaluate tan 20 0 ∘ ( cot 1 0 ∘ − tan 1 0 ∘ ) + 1 .

cot x − tan x = 2 cot 2 x . Hence the product is 2 tan 2 0 ∘ cot 2 0 ∘ = 2 , and the value is 3 .

Mathematics - Trigonometric Ratios & Identities Question with Solution | TestHub

MathematicsTrigonometric Ratios & IdentitiesBasic Identities & T RatiosMedium3 minQB

MathematicsMediumsingle choice

Evaluate $tan 20 0^{\circ} (cot 1 0^{\circ} - tan 1 0^{\circ}) + 1$ .

Answer:

Solution:

$cot x - tan x = 2 cot 2 x$ . Hence the product is $2 tan 2 0^{\circ} cot 2 0^{\circ} = 2$ , and the value is 3 .

Stream:JEESubject:MathematicsTopic:Trigonometric Ratios & IdentitiesSubtopic:Basic Identities & T Ratios

⏱ 3mℹ️ Source: QB

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