WBJEE · Maths · Trigonometric Ratios & Identities
The value of \((1+\cos \pi / 6)(1+\cos \pi / 3)(1+\cos 2 \pi / 3)(1+\cos 7 \pi / 6)\) is
- A \(\frac{3}{16}\)
- B \(\frac{3}{8}\)
- C \(\frac{3}{4}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(A) \(\frac{3}{16}\)
Step-by-step Solution
Detailed explanation
Hints : \(\left(1+\cos \frac{\pi}{6}\right)\left(1+\cos \frac{\pi}{3}\right)\left(1+\cos \frac{2 \pi}{3}\right)\left(1+\cos \frac{7 \pi}{6}\right)\)…
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
- If \(\lim _{x \rightarrow 0} \frac{a x e^{x}-b \log (1+x)}{x^{2}}=3\) then the values of \(a\) and \(b\) are, respectivelyWBJEE 2015 Easy
- If \(a, b, c\) are in G. P. and \(\log a .-\log 2 b, \log 2 b-\log 3 c, \log 3 c-\log a\) are in A. P., then \(a, b, c\) are the lengths of the sides of a triangle which isWBJEE 2022 Hard
- The equation of normal of \(x^2+y^2-2 x+4 y-5=0\) at \((2,1)\) isWBJEE 2010 Easy
- The order of the differential equation of all parabolas whose axis of symmetry along \(X\) -axis isWBJEE 2016 Easy
- The locus of the centre of a circle which passes through two variable points \((a, 0),(-a, 0)\) isWBJEE 2011 Medium
- The straight line \(3 x+y=9\) divides the line segment joining the points \((1,3)\) and \((2,7)\) in the ratioWBJEE 2010 Medium
More PYQs from WBJEE
- Nitric acid can be obtained from ammonia via the formations of the intermediate compoundsWBJEE 2013 Medium
- The circles \(\mathrm{x}^2+\mathrm{y}^2-10 \mathrm{x}+16=0\) and \(\mathrm{x}^2+\mathrm{y}^2=\mathrm{a}^2\) intersect at two distinct points ifWBJEE 2009 Medium
- The smallest positive root of the equation \(\tan x-x=0\) lies inWBJEE 2016 Easy
-

As shown in figure, a rectangular loop of length ' a' and width ' \(b\) ' and made of a conducting material of uniform crosssection is kept in a horizontal plane where a uniform magnetic field of intensity \(B\) is acting vertically downward. Resistance per unit length of the loop is \(\lambda \Omega / \mathrm{m}\). If the loop is pulled with uniform velocity ' \(v\) ' in horizontal direction, which of the following statement is / are true?WBJEE 2022 Hard - If \(f(x)=\sin x+2 \cos ^{2} x, \frac{\pi}{4} \leq x \leq \frac{3 \pi}{4} .\) Then, \(f\) attains itsWBJEE 2013 Medium
- A block of mass m rests on a horizontal table with a co-efficient of static friction \(\mu .\) What minimum force must be applied on the block to drag it on the table?WBJEE 2020 Hard