COMEDK · Maths · 8. Trigonometric Ratios & Identities
The value of \(\frac{\tan 330^{\circ} \sec 420^{\circ} \sin 300^{\circ}}{\tan 135^{\circ} \sin 210^{\circ} \sec 315^{\circ}}\) is equal to
- A \(\frac{1}{\sqrt{2}}\)
- B \(\sqrt{2}\)
- C \(\frac{1}{\sqrt{3}}\)
- D \(\sqrt{3}\)
Answer & Solution
Correct Answer
(B) \(\sqrt{2}\)
Step-by-step Solution
Detailed explanation
We have, \(\frac{\tan 330^{\circ} \sec 420^{\circ} \sin 300^{\circ}}{\tan 135^{\circ} \sin 210^{\circ} \sec 315^{\circ}}\) \(=\frac{\tan (360-30)^{\circ} \sec (360+60)^{\circ} \sin (360-60)^{\circ}}{\tan (180-45)^{\circ} \sin (180+30)^{\circ} \sec (360-45)^{\circ}}\)…
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
- The area of the region in the first quadrant enclosed by the \(x\)-axis, the line \(x = \sqrt{3}\,y\) and the circle \(x^2 + y^2 = 4\) isCOMEDK 2026 Medium
- The odds against Arjun solving a problem are 5:2 and the odds in favour of Bhavana solving the same problem are 3:4. What is the probability that the problem is NOT solved by either of them?COMEDK 2026 Easy
- \(\lim _\limits{x \rightarrow 0}\left(\dfrac{\sin a x}{\sin b x}\right)^k \text { equals }\)COMEDK 2024 Easy
- If the vectors \(\mathrm{a}=2 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+4 \hat{\mathrm{k}} ; \mathrm{b}=\hat{\mathrm{i}}+2 \hat{\mathrm{j}}-\hat{\mathrm{k}}\) and \(\mathrm{c}=m \hat{\mathrm{i}}-\hat{\mathrm{j}}+2 \hat{\mathrm{k}}\) are coplanar, then the value of \(m\) isCOMEDK 2023 Medium
- The maximum value of \(\left(\frac{1}{x}\right)^{2 x^{2}}\) isCOMEDK 2018 Easy
- \(\int \dfrac{\sin 2 x}{(1+\sin x)(2+\sin x)} d x=a \log |1+\sin x|-b \log |2+\sin x|+c\) then the value of \(a\) and \(b\) is ----COMEDK 2025 Medium
More PYQs from COMEDK
- In the circuit given \(E=6.0 \mathrm{~V}, R_{1}=100 \Omega\) \(R_{2}=R_{3}=50 \Omega\) and \(R_{4}=75 \Omega\).
The equivalent resistance of the circuit (in \(\Omega\) ) is
COMEDK 2017 Hard - The function \(f(x) = e^{ax} + e^{-ax}\), \(x \in \mathbb{R}\) and \(a < 0\), is strictly decreasing for all values of '\(x\)', whereCOMEDK 2026 Medium
- The area bounded by the curve \(y^2=4 a(x-1)\) and the lines \(x=1, y=4 a\) isCOMEDK 2023 Medium
- \(\int \dfrac{f^{\prime}(x)}{f(x) \log (f(x))} d x \text { is equal to }\)COMEDK 2024 Easy
- Identify X and Y formed in the following two reactions.
(i) Decan-1-ol \(\xrightarrow{\text { Jones reagent }} \mathrm{X}\)
(ii). Sodium salt of \(\mathrm{X} \xrightarrow{\mathrm{NaOH} / \mathrm{CaO}, \Delta} \mathrm{Y}\)COMEDK 2025 Medium - Sodium cyanide is added as a depressant in the froth floatation process when the ore contains a mixture of \(\mathrm{ZnS}\) and PbS. This is becauseCOMEDK 2014 Hard