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1
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \cos ^6 A-\sin ^6 A \text { is equal to } $$

A
$$ \cos 2 A\left(1-\frac{1}{4} \sin ^2 2 A\right) $$
B
$$ \cos 2 A\left(1-\frac{3}{4} \sin ^2 2 A\right) $$
C
$$ \cos 2 A\left(1-\frac{1}{2} \sin ^2 2 A\right) $$
D
$$ \cos 2 A\left(1+\frac{1}{4} \sin ^2 2 A\right) $$
2
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

$$ \text { If } \operatorname{cosec}(90+A)+x \cos A \cot (90+A)=\sin (90+A) \text { then the value of } x \text { is } $$

A
$$ \cot A $$
B
$$ \operatorname{cosec} A $$
C
$$ \tan A $$
D
$$ \sin A $$
3
COMEDK 2023 Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $$\cos \alpha=k \cos \beta$$ then $$\cot \left(\frac{\alpha+\beta}{2}\right)$$ is equal to

A
$$ \frac{k+1}{k-1} \tan \left(\frac{\alpha-\beta}{2}\right) $$
B
$$ \frac{k+1}{k-1} \tan \left(\frac{\beta-\alpha}{2}\right) $$
C
$$ \frac{k-1}{k+1} \tan \left(\frac{\beta-\alpha}{2}\right) $$
D
$$ \frac{k-1}{k+1} \tan \left(\frac{\alpha-\beta}{2}\right) $$
4
COMEDK 2022
MCQ (Single Correct Answer)
+1
-0

If $$\sin A+\sin B=a$$ and $$\cos A+\cos B=b$$, then $$\cos (A+B)$$ equals?

A
$$\frac{a^2+b^2}{b^2-a^2}$$
B
$$\frac{2 a b}{a^2+b^2}$$
C
$$\frac{b^2-a^2}{a^2+b^2}$$
D
$$\frac{a^2-b^2}{a^2+b^2}$$
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