Question

if 7 sin ²a + 3 cos²a =4 , then show that tana = 1/under root 3​

Answer 1

Step-by-step explanation:

7 sin2 a + 3 cos2 a = 4

7 sin2 a + 3 cos2 a = 4(sin2 a + cos2 a)

7 sin2 a + 3 cos2 a = 4 sin2 a + 4 cos2 a

7 sin2 a - 4 sin2 a = 4 cos2 a - 3cosa a

3 sin2 a = Cos2 a

sin2 a/ cos2 a = 1/3

tan2 a = 1/3

tan a =

$\sqrt{} \frac{1}{3}$

Hence proved

Answer 2

Answer:

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