# Trigonometric Ratios & Identities · Mathematics · AP EAPCET

Start Practice## MCQ (Single Correct Answer)

AP EAPCET 2022 - 4th July Morning Shift

If the identity $$\cos ^4 \theta=a \cos 4 \theta+b \cos 2 \theta+c$$ holds for some $$a, b, c \in Q$$ then $$(a, b, c)=$$

AP EAPCET 2022 - 4th July Morning Shift

The value of $$\frac{\sin \theta+\sin 3 \theta}{\cos \theta+\cos 3 \theta}$$ is

AP EAPCET 2022 - 4th July Morning Shift

If $$(1+\tan 1^{\circ})(1+\tan 2^{\circ}) \ldots(1+\tan 45^{\circ})=2^n,$$ then $$n=$$

AP EAPCET 2022 - 4th July Morning Shift

$$\frac{\cos \theta}{1-\tan \theta}+\frac{\sin \theta}{1-\cot \theta}=$$

AP EAPCET 2022 - 4th July Morning Shift

If $$\operatorname{cosech} x=\frac{4}{5}$$, then $$\sinh x=$$

AP EAPCET 2021 - 20th August Morning Shift

What is the value of $$\cos \left(22 \frac{1}{2}\right)^{\circ}$$ ?

AP EAPCET 2021 - 20th August Morning Shift

If $$\cos \theta=-\sqrt{\frac{3}{2}}$$ and $$\sin \alpha=\frac{-3}{5}$$, where '$$\theta$$' does not lie in the third quadrant, then the value of $$\f...

AP EAPCET 2021 - 20th August Morning Shift

If $$\tan \beta=\frac{\tan \alpha+\tan \gamma}{1+\tan \alpha \tan \gamma}$$, then $$\frac{\sin 2 \alpha+\sin 2 \gamma}{1+\sin 2 \alpha \sin 2 \gamma}$...

AP EAPCET 2021 - 20th August Morning Shift

The sides of a triangle inscribed in a given circle subtend angles $$\alpha, \beta, \gamma$$ at the center. The minimum value of the AM of $$\cos \lef...

AP EAPCET 2021 - 19th August Evening Shift

In a $$\triangle A B C$$, if $$3 \sin A+4 \cos B=6$$ and $$4 \sin B+3 \cos A=1$$, then $$\sin (A+B)$$ is equal to

AP EAPCET 2021 - 19th August Evening Shift

$$\tan \alpha+2 \tan 2 \alpha+4 \tan 4 \alpha+8 \cot 8 \alpha$$ is equal to

AP EAPCET 2021 - 19th August Evening Shift

If $$f(x)=\frac{\cot x}{1+\cot x}$$ and $$\alpha+\beta=\frac{5 \pi}{4}$$, then the value of $$f(\alpha) f(\beta)$$ is equal to

AP EAPCET 2021 - 19th August Evening Shift

In $$\triangle A B C \cdot \frac{a+b+c}{B C+A B}+\frac{a+b+c}{A C+A B}=3$$, then $$\tan \frac{C}{8}$$ is equal to

AP EAPCET 2021 - 19th August Evening Shift

Mean of the values $$\sin ^2 10 Y, \sin ^2 20 Y, \sin ^2 30 Y, \ldots \ldots \ldots ., \sin ^2 90 Y$$ is

AP EAPCET 2021 - 19th August Evening Shift

When the coordinate axes are rotated through an angle 135$$\Upsilon$$, the coordinates of a point $$P$$ in the new system are known to be $$(4,-3)$$. ...

AP EAPCET 2021 - 19th August Evening Shift

The maximum value of $$f(x)=\sin (x)$$ in the interval $$\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$$ is

AP EAPCET 2021 - 19th August Morning Shift

$$\tan 2 \alpha \cdot \tan (30 Y-\alpha)+\tan 2 \alpha \cdot \tan (60 Y-\alpha)+\tan (60 \Upsilon-\alpha) \cdot \tan (30 \gamma-\alpha)$$ is equal to...

AP EAPCET 2021 - 19th August Morning Shift

If $$\sin \alpha - \cos \alpha = m$$ and $$\sin 2\alpha = n - {m^2}$$, where $$ - \sqrt 2 \le m \le \sqrt 2 $$, then n is equal to

AP EAPCET 2021 - 19th August Morning Shift

If $$\sinh u=\tan \theta$$, then $$\cosh u$$ is equal to