TS EAMCET · Maths · Inverse Trigonometric Functions
- A
- B
- C
- D
Answer & Solution
Correct Answer
(D)
Step-by-step Solution
Detailed explanation
sintan-145+tan-143+tan-119-tan-117 =sintan-145-tan-117+tan-143+tan-119 Now, tan-145-tan-117=psay ⇒p=tan-145-171+45·17=tan-12339 Also, tan-143+tan-119=qsay ⇒q=tan-143+191-43·19=tan-13923 ⇒q=cot-12339=π2-tan-12339 So, sinp+q=sinπ2=1
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 the direction cosines of two lines satisfy the equations \(l+m+n=0\) and \(2 l m+2 l n-m n=0\), then the acute angle between those two lines isTS EAMCET 2018 Medium
- Observe the following statements A. Integrating factor of \(\frac{d y}{d x}+y=x^2\) is \(e^x\) R. Integrating factor of \(\frac{d y}{d x}+P(x) y=Q(x)\) is \(e^{\int P(x) d x}\) Then, the true statement among the following isTS EAMCET 2004 Easy
- Let ABC be a triangle right angled at B. If \(a=13\) and \(c=84\), then \(\mathrm{r}+\mathrm{R}=\)TS EAMCET 2025 Medium
- For \(a, b, c \in \mathbb{R}\), if \(6 a^2-3 b^2-c^2+7 a b-a c+4 b c=0\) and \(|a|+|b| \neq 0\), then all the lines given by \(a x+b y+c=0\) areTS EAMCET 2022 Hard
- The partial fraction decomposition of \(\frac{3 x+1}{(x-1)^2(x+2)}\)TS EAMCET 2021 Hard
- \(\lim _{x \rightarrow 0} \frac{2 \sin x-\sin 2 x}{x^3}\) is equal toTS EAMCET 2021 Easy
More PYQs from TS EAMCET
- The half lives of two radioactive materials \(A\) and \(B\) are respectively \(T\) and \(2 T\). If the ratio of the initial masses of the materials \(A\) and \(B\) is \(8: 1\), then the time after which the ratio of the masses of the materials \(A\) and \(B\) becomes \(4: 1\) isTS EAMCET 2024 Easy
- An object is placed at a distance of in front of a concave mirror of focal length . The image produced isTS EAMCET 2020 Medium
- Which one of the following elements on doping with germanium, make it a p-type semiconductor?TS EAMCET 2014 Easy
- \(\mathrm{CH}_3 \mathrm{COOH} \stackrel{\mathrm{LiAlH}_4}{\longrightarrow} A\) \(\mathrm{A}+\mathrm{CH}_3 \mathrm{COOH} \stackrel{\mathrm{H}_3 \mathrm{O}^{+}}{\longrightarrow} \mathrm{B}+\mathrm{H}_2 \mathrm{O}\) In the above reactions ' \(A\) ' and ' \(B\) ' respectively areTS EAMCET 2007 Hard
- Consider the following pairs of elements and identify the pairs of elements which have nearly same atomic radius.
I. \(\mathrm{Y}, \mathrm{La}\)
II. \(\mathrm{Zr}, \mathrm{Hf}\)
III. Mo, W
IV. Cr, MoTS EAMCET 2025 Medium - Charge passing through a conductor of cross-section area \(A=0.3 \mathrm{~m}^2\) is given by \(q=3 t^2+5 t+2\) in coulomb, where \(t\) is in second. What is the value of drift velocity at \(t=2 \mathrm{~s}\) ? (Given, \(n=2 \times 10^{25} / \mathrm{m}^3\) )TS EAMCET 2010 Easy