AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\frac{\cos 10^{\circ}+\cos 80^{\circ}}{\sin 80^{\circ}-\sin 10^{\circ}}=\)
- A \(\tan 35^{\circ}\)
- B \(\tan 55^{\circ}\)
- C \(\tan 20^{\circ}\)
- D \(\tan 70^{\circ}\)
Answer & Solution
Correct Answer
(B) \(\tan 55^{\circ}\)
Step-by-step Solution
Detailed explanation
\(\frac{\cos 10^{\circ}+\cos 80^{\circ}}{\sin 80^{\circ}-\sin 10^{\circ}}=\frac{\cos \left(\frac{10+80}{2}\right)^{\circ} \cos \left(\frac{10-80}{2}\right)^{\circ}}{\cos \left(\frac{10+80}{2}\right)^{\circ} \sin \left(\frac{10-80}{2}\right)^{\circ}}\)…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- If \(A\) and \(B\) are the values such that \((A+B)\) and \((A-B)\) are not odd multiples of \(\frac{\pi}{2}\) and \(2 \tan (A+B)=3 \tan (A-B)\), then \(\sin A \cos A=\)AP EAMCET 2025 Medium
- If \(\alpha, \beta\) are the roots of the equation \(x^2-2 x+4=0\) and for any \(n \in \mathrm{N}, \alpha^n+\beta^n=k \cos \frac{n \pi}{3}\) then \(k=\)AP EAMCET 2017 Easy
- \(\operatorname{sech}^{-1}\left(\frac{1}{\sqrt{2}}\right)+\operatorname{cosech}^{-1}(-1)=\)AP EAMCET 2017 Medium
- Exactly how many functions \(f: Q \rightarrow Q\) exist such that \(f(x+y)=f(x)+f(y)\) and \(f(x y)\) \(=f(x) f(y)\) for all \(x, y \in Q\) ?AP EAMCET 2020 Easy
- If \(\alpha\) is the common root of the quadratic equations \(x^2-5 x+4 a=0\), \(x^2-2 a x-8=0\), where \(a \in \mathbb{R}\), then the value of \(\alpha^4-\alpha^3+68\) isAP EAMCET 2025 Medium
- If two of the lines represented by \(2 x^3+x^2 y+y^3=0\) are mutually perpendicular, then the slope of the third line isAP EAMCET 2017 Easy
More PYQs from AP EAMCET
- The standard deviation of first 10 multiples of 4 isAP EAMCET 2022 Easy
- What is the hybridization state of the central atom in the conjugate base of \(\mathrm{NH}_4^{+}\)ion?AP EAMCET 2002 Easy
- The time in seconds required to produce a potential difference of \(20 \mathrm{~V}\) across a capacitor of \(1000 \mu \mathrm{F}\) when it is charged at the steady rate of \(200 \mu \mathrm{C} / \mathrm{s}\) isAP EAMCET 2002 Easy
- The efficiency of a Carnot's engine is \(100 \%\) only whenAP EAMCET 2020 Easy
- Henry's law constant for \(\mathrm{CO}_2\) in water is \(1.67 \times 10^8 \mathrm{~Pa}\). Calculate the approximate quantity of \(\mathrm{CO}_2\) in \(500 \mathrm{~mL}\) of soda water when packed under \(5 \mathrm{~atm} \mathrm{CO}_2\) at \(298 \mathrm{~K}\).AP EAMCET 2021 Medium
- If the graph of the anti derivative \(g(x)\) of \(f(x)=\log (\log\) \(x)+(\log x)^{-2}\) passes through \((e, 2023-e)\) and the term independent of \(x\) in \(g(x)\) is \(k\), then the sum of all the digits of \(\mathrm{k}\) isAP EAMCET 2023 Hard