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1
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $\cos x+\cos y=\frac{2}{3}$ and $\sin x-\sin y=\frac{3}{4}$, then $\sin (x-y)+\cos (x-y)=$
A
$\frac{161}{145}$
B
$\frac{127}{145}$
C
$\frac{1}{2}$
D
$\frac{8}{9}$
2
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $\tan A<0$ and $\tan 2 A=-\frac{4}{3}$, then $\cos 6 A=$
A
$\frac{117}{125}$
B
$-\frac{117}{125}$
C
$\frac{120}{169}$
D
$-\frac{120}{169}$
3
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $m \cos (\alpha+\beta)-n \cos (\alpha-\beta)$ $=m \cos (\alpha-\beta)+n \cos (\alpha+\beta)$, then $\tan \alpha \tan \beta=$
A
$m+n$
B
$m-n$
C
$-\frac{n}{m}$
D
$\frac{\mathrm{m}}{\mathrm{n}}$
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } \frac{2 \sin \theta}{1+\cos \theta+\sin \theta}=y, \text { then } \frac{1-\cos \theta+\sin \theta}{1+\sin \theta}= $$

A
$y$
B
$\frac{1}{y}$
C
$1-y$
D
$1+y$
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