1
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\cos x+\cos y=p, \sin x+\sin y=q$, then $\cos \left(\frac{x-y}{2}\right)=$

A

$\pm \frac{\sqrt{p^2+q^2}}{2}$

B

$\pm \frac{p q}{2}$

C

$\pm\left(\frac{p+q}{2}\right)$

D

$\pm \frac{\sqrt{p^2+q^2}}{4}$

2
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $A+B+C=\frac{3 \pi}{2}$, then $4 \sin A \sin B \sin C+\cos 2 A+\cos 2 B+\cos 2 C=$

A

$-\sin (A+B+C)$

B

$\cos (A+B+C)$

C

$\sin (A+B+C)$

D

$2-\cos (A+B+C)$

3
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \frac{e^{4 x}+e^{-4 x}+14}{4\left(e^x-e^{-x}\right)^2}= $$

A

$\sinh ^2 x+\operatorname{coth}^2 x$

B

$\sinh ^2 x+\operatorname{sech}^2 x$

C

$\cosh ^2 x+\operatorname{sech}^2 x$

D

$\cosh ^2 x+\tanh ^2 x$

4
TS EAMCET 2022 (Online) 18th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\tanh x=\frac{1}{2}$, then $\sinh 2 x-\operatorname{sech} 2 x=$

A

$\frac{29}{15}$

B

$\frac{11}{15}$

C

3

D

$\frac{-13}{15}$

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