Prove the identity A -1- A -1-1-cos A -1-cos A -3 MARKS -

Formula: 1 Mark Proof: 2 Marks LHS =sec A 1/sec A+1 = 1/cos A 1/1/cos A+1 =1 cos A/1+cos A = RHS Hence proved ...

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Standard Values of Trigonometric Ratios

Prove the ide...

Question

Prove the identity
$\frac{s e c A - 1}{s e c A + 1} = \frac{1 - c o s A}{1 + c o s A}$ [3 MARKS]

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Prove the identity:
$\frac{s i n A}{1 + c o s A} = c o s e c A - c o t A$ [3 MARKS]

\frac{cos A - sin A + 1}{cos A + sin A - 1} = csc A + cot A

{csc}^{2} A = 1 + {cot}^{2} A

Prove the following trigonometric identities:

$\frac{1 - c o s A}{1 + c o s A} = (c o t A - c o s e c A)^{2}$

\frac{cos A + sin A - 1}{cos A - sin A + 1} = \frac{1}{cosec A + cot A}

{cosec}^{2} A - {cot}^{2} A = 1.

{csc}^{2} A = 1 + {cot}^{2} A

\frac{cos A - sin A + 1}{cos A + sin A - 1} = csc A + cot A

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