AP EAMCET · Maths · Trigonometric Ratios & Identities
If \(\operatorname{cosech} x=\frac{4}{5}\), then \(\cosh x=\)
- A \(\sqrt{\frac{41}{21}}\)
- B \(\sqrt{\frac{41}{19}}\)
- C \(\sqrt{\frac{41}{25}}\)
- D \(\sqrt{\frac{41}{16}}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{\frac{41}{16}}\)
Step-by-step Solution
Detailed explanation
\(\operatorname{cosec} h x=\frac{1}{\sin h x}=\frac{4}{5}\) \(\sin h x=5 / 4\) \(\cos h^2 x=1+\sin h^2 x\) \(=1+\left(\frac{5}{4}\right)^2=\frac{41}{16}\) \(\therefore \cos h x=\sqrt{\frac{41}{16}}\)
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
- AP EAMCET 2022 Hard
- If \(\int \frac{d x}{\cos ^4 x+\sin ^4 x}=\frac{1}{\sqrt{2}} \tan ^{-1}[g(x)]+C\), then \(g(x)\) equalsAP EAMCET 2021 Medium
- The equation of the plane passing through \((1,1,1)\) and \((1,-1,-1)\) and perpendicular to \(2 x-y+z+5=0\) is :AP EAMCET 2003 Medium
- Six faces of an unbiased die are numbered with \(2,3,5,7,11\) and 13 . If two such dice are thrown, then the probability that the sum on the uppermost faces of the dice is an odd number isAP EAMCET 2004 Medium
- \({ }^{2 \mathrm{n}} \mathrm{C}_4:{ }^{\mathrm{n}} \mathrm{C}_3=99: 4 \Rightarrow \mathrm{n}=\)AP EAMCET 2023 Easy
- \(f: R \rightarrow R\) and \(g: R \rightarrow R\) are two functions such that \(f(x)=x^2\) and \(g(x)=\frac{1}{x^2}\), then \(x^4(f \circ g)(x)\) is equal toAP EAMCET 2021 Easy
More PYQs from AP EAMCET
- By multiplying with \(e^{\int P d x}\) on both sides of the equation \(\frac{d y}{d x}+P(x) y=Q(x)\), the left side of the equation takes the form \(\frac{d}{d x}(y f(x))\), then \(f(x)=\)AP EAMCET 2022 Medium
- Among the following, the correctly matched pair isAP EAMCET 2023 Easy
- An unbiased coin is tossed 3 times. If the third toss gets head, then the probability of getting at least one more head isAP EAMCET 2022 Medium
- Identify the correct statements among the following
a) \(\mathrm{C}_{60}\) molecule has 12 six-membered rings and 20 five-membered rings
b) \(\mathrm{H}_2 \mathrm{CO}_3 / \mathrm{HCO}_3^{-}\)buffer system helps to maintain \(\mathrm{pH}\) of blood between 7.26 and 7.42
c) Graphite is used as a dry lubricant in machines running at high temperaturesAP EAMCET 2017 Easy - The force per unit length on a straight wire carrying current of 8 A making an angle of \(30^{\circ}\) with a uniform magnetic field of 0.15 T isAP EAMCET 2025 Easy
- A mixture of dichloromethane and aniline can be separated byAP EAMCET 2021 Medium