Question

Calcular: SenƟ, si TgƟ=1/√2

Answer 1

Respuesta:

$\sin(\theta)=\dfrac{1}{\sqrt{3} }$

Paso a paso:

$\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}\\ \\\sin(\theta)=\cos(\theta)\tan(\theta)$

$\cos(\theta)=\dfrac{1}{\sec(\theta)}$

$\sin(\theta)=\dfrac{\tan(\theta)}{\sec(\theta)}$

$1+\tan^2(\theta)=\sec^2(\theta)\\\\sec(\theta)=\sqrt{1+\tan^2(\theta)}$

$\sin(\theta)=\dfrac{\tan(\theta)}{\sqrt{1+\tan^2(\theta)} } \\\\\\\sin(\theta)=\dfrac{\dfrac{1}{\sqrt{2} } }{\sqrt{1+\dfrac{1^2}{\sqrt{2}^2 } } } \\\\\\\sin(\theta)=\dfrac{\dfrac{1}{\sqrt{2} } }{\sqrt{\dfrac{2}{2}+\dfrac{1}{2} } }\\ \\\\\sin(\theta)=\frac{\dfrac{1}{\sqrt{2} } }{\dfrac{\sqrt{3} }{\sqrt{2} } }\\ \\\boxed{\sin(\theta)=\dfrac{1}{\sqrt{3} }}$

Answer 2

Respuesta:

No puedo alludar te si me muestras bien no te estiendo