If tan 2A = cot (A - 18o), where 2A is an angle, find the value o

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Introduction to Trigonometry

Short Answer Type

391.

Prove the following identity:
$fraction numerator cosecθ over denominator cosecθ minus 1 end fraction plus fraction numerator cosecθ over denominator cosecθ plus 1 end fraction equals 2 plus 2 tan squared straight theta.$

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392.

Prove the following identity:
$square root of fraction numerator 1 plus cosθ over denominator 1 minus cosθ end fraction end root equals space cosecθ plus cotθ.$

93 Views

Long Answer Type

393.

Prove the following identity:
$fraction numerator tanθ over denominator 1 minus cotθ end fraction plus fraction numerator cotθ over denominator 1 minus tanθ end fraction equals 1 plus tanθ plus cotθ.$

117 Views

Short Answer Type

394.

What is the value of (Cos²67^o - sin² 23^o)?

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395.

If

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396.
If tan 2A = cot (A - 18^o), where 2A is an angle, find the value of A

Given that,

tan 2A = cot (A - 18^o)

Now, we know that,

tan θ = cot (90^o - θ)
∴ cot (90^o -2A) - cot (A -18⁰)
∴ 90⁰ - 2A = A - 18⁰∴ 3A = 108⁰∴ A =108⁰ / 3 = 36⁰

∴ A = 36⁰

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Long Answer Type

397.

Prove that .

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