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find sin2x,cos2x and tan2x if cosx=-(3)/(sqrt (10)) and x terminates in quadrant ii. sin2x=(3)/(5) cos2x=(4)/(5) tan2x=(3)/(4)

Question

Find sin2x,cos2x and tan2x If cosx=-(3)/(sqrt (10)) and x terminates in quadrant II. sin2x=(3)/(5) cos2x=(4)/(5) tan2x=(3)/(4)

Solution

Verificación de expertos
4.1 (315 Votos)
Getúlio Profissional · Tutor por 6 anos

Resposta

To find , , and given that and terminates in quadrant II, we can use the double-angle formulas for sine, cosine, and tangent.First, let's find . Since is in quadrant II, will be positive. We can use the Pythagorean identity to find : Now, let's find , , and using the double-angle formulas:1. 2. 3. Therefore, the correct values are: