# Trigonometric Ratios & Identities · Mathematics · AP EAPCET

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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
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