Question

the equation sin²x = a²+ b²/ 2ab is possible if
a) a = - b
b) a= b
c) 2a = b
d) none of these​

Answer 1

Answer:

Option d) none of these.

Step-by-step explanation:

${sin}^{2} x = \frac{ {a}^{2} + {b}^{2} }{2ab}$

$\longrightarrow {sin}^{2} \times 2ab = {a}^{2} + {b}^{2}$

$\longrightarrow {a}^{2} + {b}^{2} - 2ab = {sin}^{2}$

$\longrightarrow{(a + b)}^{2} = {sin}^{2}$

$\longrightarrow a - b = sin$

$\boxed{a = sin + b}$