Where does the mark scheme get these numbers from?

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SUMMARY

The discussion centers on the derivation of a quadratic equation from the mark scheme, specifically addressing the equation Sin^2(θ) + Sin(θ) - 1 = 0. A participant identified that the quadratic formula was applied incorrectly, leading to an erroneous factorization. The correct factorization should involve distributing the terms to verify equality, emphasizing the importance of accurate algebraic manipulation in solving trigonometric equations.

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Homework Statement
practicing some Trigonmetric identities and equations questions, and unsure how the mark scheme managed to reach what sin theta is equal to (Q 4B)
Relevant Equations
sin^2 x + cos^2 x =1
1710164531453.png
Q4B
1710164557584.png
Mark scheme
1710164643254.png
My working
 
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NVM guys, i just realised that the quadratic formula was used! Sorry for anyone who may have wasted time
 
Your factorization, 3 lines from the bottom, is incorrect
The step from[Edit]
## Sin^2(\theta)+Sin(\theta)-1=0## , to
##Sin(\theta)[Sin(\theta)-1]=0##
Doesn't follow.
Distribute the terms in the bottom expression to test if they're equal.
 
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