If x - cosec A - cos A and y - cosec A - cos A then prove that 2-x-y2 - x-y-22 - 1 - 0

X = cosec A + cos A y = cosec A cos A = gt; x+y = 2 cosec A = gt; 2/(x+y) = sinA (x y)/2 = cos A LHS = [ 2/(x+y) ]² + [(x y)/2]² 1 ...

159

You visited us 159 times! Enjoying our articles? Unlock Full Access!

Trigonometric Ratios

If x = cosec ...

Question

If x = cosec A + cos A and y = cosec A - cos A then prove that

$(\frac{2}{x + y})^{2} + (\frac{x - y}{2})^{2} - 1 = 0$

Open in App

Solution

Suggest Corrections

Similar questions

x = cosec A + cos A

y = cosec A - cos A

{(\frac{2}{x + y})}^{2} + {(\frac{x - y}{2})}^{2} - 1 = 0

\frac{cot A - cos A}{cot A + cos A} = \frac{cos e c A - 1}{cos e c A + 1}

If x = cot A + cos A and y = cot A - cos A, prove that

$(\frac{x - y}{x + y})^{2} + (\frac{x - y}{2})^{2} = 1$ .

Prove that :
$\sqrt{\frac{1 + cos A}{1 - cos A}} = cosec A + cot A$

prove that: cotA-cosA/ cotA +cosA = cosecA-1/cosecA+1

Join BYJU'S Learning Program