Question

7 sin squared theta + 3 cos squared theta equals to 4 to prove that tan theta equals to 1 by root 3

Answer 1

here is your answer....hope it helps...(. ❛ ᴗ ❛.)

Answer 2

Answer:

$7( \sin(x) {)}^{2} + 3( \cos(x) {)}^{2} = 4 \\ 3( (\sin(x {}) {)}^{2} + (\cos(x) ) {}^{2} ) \\ + 4 (\sin(x) ) {}^{2} = 4 \\ 4( \sin(x {}))^{2} = 1 \\ \sin(x) = \sqrt{1 \div 4 } = 0.5$

Tan x

= Sin x/((1-Sin^2 x )^(1/2))

= 1/2/((1-1/4)^(1/2))

= 1÷2×2÷(3^(1/2))

= 1/(3^(1/2)) (PROVED)