if sin(theta)=s, cos(theta)=r;7s^2+3r^2=4 plz g com
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Given: sin(Θ)=s and cos(Θ)=r equation is 7s²+3r²=4
To find: Theta value (Θ) also s and r can be found out
Solution :
We know that sin(Θ)²+cos(Θ)²=1 ==>s²+r²=1
Hence -> cos(Θ)²=1-sin(Θ)²
Substitute in the equation given:
7s²+3r²=4
7s²+3(1-s²)=4
4s²+3=4
4s²=1
s=1/2
r²=1-s²=1-(1/2)²=√3/2
theta is sin(Θ)=1/2 which is 30degree.
Final Answer: s=1/2 r=√3/2 theta=30degree
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