Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Trigonometric Ratios & Identities

NDA 2020 · Mathematics · Trigonometric Ratios & Identities

What is 3 x+ 3 x+4 ^3 x-3 x+3 x-4 ^3 x equal to ?

What is sin⁡3x+cos⁡3x+4sin⁡3x−3sin⁡x+3cos⁡x−4cos⁡3x\sin 3 x+\cos 3 x+4 \sin ^3 x-3 \sin x+3 \cos x-4 \cos ^3 x equal to ?

Options

  1. A0
  2. B1
  3. C2sin⁡2x2 \sin 2 x
  4. D4cos⁡4x4 \cos 4 x

Correct answer

A. 0

Step-by-step solution

sin⁡3x+cos⁡3x+4sin⁡3x−3sin⁡x+3cos⁡x−4cos⁡3x=sin⁡3x+cos⁡3x−sin⁡3x−cos⁡3x=0\begin{aligned} & \sin 3 x+\cos 3 x+4 \sin ^3 x-3 \sin x+3 \cos x-4 \cos ^3 x \\ & =\sin 3 x+\cos 3 x-\sin 3 x-\cos 3 x=0 \end{aligned}
Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If θ lies in the fourth quadrant and 3 θ+4=0 , then what is the value of 2θ+ 2θ ? NDA 2026If α+ β=0= α+ β , α≠β then what is a value of 2α+ 2β+2 (α+β) ? NDA 2026If 2 4β= 2α+ 2α , then which one of the following is a possible value of (α+β) ? NDA 2026If x= θ- θ and y= θ+ θ , then which one of the following is correct ? NDA 2026If θ=(1)/(3) , then what is the value of ((θ)/(2)) ((3θ)/(2)) ? NDA 2026If A and B are acute angles such that 2A+2B=π , then what is the maximum value of A· B ? NDA 2026x+ 3 x is maximum when x is equal to NDA 2026In a triangle ABC , A= B+ C then what is ((B)/(2))+ ((B)/(2))equal to ? NDA 2026If α and β are complementary angles such that α-β=(π)/(6) and m β=n α , then what is… NDA 2026For the following two (02) items: Let A + B = p and A + B = q . What is (p^2 - q^2)/(p^2… NDA 2025For the following two (02) items: Let p = cosec\, 20° and q = cosec\, 70° . What is (p^2… NDA 2025For the following two (02) items: Let A + B = p and A + B = q . What is (p)/(q) equal to? NDA 2025For the following two (02) items: Let p = cosec\, 20° and q = cosec\, 70° . What is ( 3… NDA 2025Consider the following for the three (03) items that follow: Let p = 35° , q = 25° and r… NDA 2025Consider the following for the three (03) items that follow: Let p = 35° , q = 25° and r… NDA 2025Consider the following for the three (03) items that follow: Let p = 35° , q = 25° and r… NDA 2025 Full Trigonometric Ratios & Identities list Trigonometric Ratios & Identities JEE Maths PYQsJEE Mathematics PYQs All NDA PYQs