CUET · MATHS · PYQ PAPER 2025
\(\sin ^{-1}\left(\cos \frac{3 \pi}{5}\right)\) equals
- A \(\frac{3 \pi}{5}\)
- B \(-\frac{\pi}{10}\)
- C \(\frac{\pi}{10}\)
- D \(-\frac{3 \pi}{10}\)
Answer & Solution
Correct Answer
(B) \(-\frac{\pi}{10}\)
Step-by-step Solution
Detailed explanation
\(\sin ^{-1}\left(\cos \frac{3 \pi}{5}\right)\) \( = \sin ^{-1}\left(\sin \left(\frac{\pi}{2} - \frac{3 \pi}{5}\right)\right)\) \( = \sin ^{-1}\left(\sin \left(\frac{5 \pi - 6 \pi}{10}\right)\right)\) \( = \sin ^{-1}\left(\sin \left(-\frac{\pi}{10}\right)\right)\)…
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
- The maximum value of the objective function \(Z=2 x+y\) of an LPP, subject to the constraints \(x \leq 6, y \leq 2, x-y \leq 0\), \(x \geq 0, y \geq 0\), is:CUET 2025 Hard
- If the events A and B are independent, then which of the following statements are true?
(A) \(P\left(A^{\prime} \cap B\right)=[1-P(A)] P(B)\)
(B) A and B are mutually exclusive
(C) P(A) = P(B)
(D) \(P\left(A^{\prime} \cap B^{\prime}\right)=[1-P(A)][1-P(B)]\)
Choose the correct answer from the options given below:CUET 2025 Easy - Ishita is rowing a boat. She takes 24 hours to row 72 km against the stream and she takes 9 hours to return to the starting point in the direction of the stream. The speed of the boat in still water is :CUET 2023 Easy
- The value of \(\operatorname{cosec}^{-1}\left[\operatorname{cosec}\left(-\frac{\pi}{6}\right)\right]\) is :CUET 2023 Easy
- Match List-l with List-ll
Let A and B be any two events
Choose the correct answer from the options given below :List-l List-ll (A) \(P \left( A ^{\prime}\right)\) (I) \(\frac{P(A \cap B)}{P(A)} ; P(A) \neq 0\) (B) \(P (\Phi)\) (II) \(\frac{P(A \cap B)}{P(B)} ; P(B) \neq 0\) (C) \(P ( A \mid B )\) (III) \(1-P(A)\) (D) \(P ( B \mid A )\) (IV) \(0\) CUET 2025 Medium - If \(A =\left(\begin{array}{cc}-a & b \\ c & a\end{array}\right)\) and \(A ^2= I\), where \(I\) is an Identity matrix of order 2, then which of the following is correct?CUET 2023 Easy
More PYQs from CUET
- Nucleotide is obtained by linking nucleoside to phosphoric acid at which position of sugar ?CUET 2025 Hard
- The value of \(\tan \left\{2 \tan ^{-1}\left(\frac{1}{5}\right)+\pi / 4\right\}\) is :CUET 2023 Hard
- Once the BOD of sewage or waste water is reduced significantly, the effluent is then passed into a settling tank where the bacterial 'flocs' are allowed to sediment. This sediment is called as:CUET 2025 Easy
- The differential equation representing the family of curves \(y=A \cos (x+B)\), where \(A\) and \(B\) are arbitrary constants is :CUET 2023 Hard
- Match List - I with List - II.
Choose the correct answer from the options given below:LIST I LIST II (A) Metabolic Disorder (I) Family tree over generation (B) Pedigree analysis (II) Blood disease (C) Thalassemia (III) Phenylketonuria (D) Trisomy of 21st chromosome (IV) Down's Syndrome CUET 2023 Hard - Match List I with List II
LIST I LIST II A. \(\int_{1}^{2} \frac{\sqrt{x}}{\sqrt{3-x} + \sqrt{x}} dx\) I. -\(\frac{1}{2}\log 3\) B. \(\int_{1}^{2} x^2 dx\) II. \(\frac{7}{3}\) C. \(\int_{-4}^{-1} \frac{1}{x} dx\) III. \(\frac{1}{2}\) D. \(\int_{0}^{1} \frac{1}{2x-3} dx\) IV. -\(\log 4\)
Choose the correct answer from the options given below:CUET 2023 Medium