HELP FAST PLEASE!!!!How can Jamie rewrite the expression 1/1-sin(theta) so that the fraction has cos^2(theta) in the denominator?She can multiply the numerator and denominator by cos(theta)She can multiply the numerator and denominator by tan(theta)She can multiply the numerator and denominator by 1-cos(theta)She can multiply the numerator and denominator by 1+sin(theta)
Question
Answer:
She can multiply the numerator and denominator by (1+sin θ).[tex]\frac{1}{1-\sin \theta} \times \frac{1+\sin \theta}{1+\sin \theta} \\ \\=\frac{1+\sin \theta}{1*1+\sin \theta \times1-\sin \theta \times1 -\sin \theta \times \sin \theta} \\ \\=\frac{1+\sin \theta}{1+\sin \theta -\sin \theta - \sin ^2 \theta} \\ \\=\frac{1+ \sin \theta}{1-\sin ^2 \theta}[/tex]
From our trigonometric identities, we know that 1-sin² θ = cos² θ, so we have:
[tex]\frac{1+\sin \theta}{\cos ^2 \theta}[/tex]
solved
general
11 months ago
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