Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET202119 Aug 2021Morning ShiftMathematicsTrigonometric Ratios & IdentitiesActual

If sinh u = tan θ , then cosh u is equal to

Options

  1. A− sec ⁡ θ
  2. Bsec ⁡ θ
  3. Csin ⁡ θ
  4. Dcot ⁡ θ

Correct answer

B. sec ⁡ θ

Step-by-step solution

We know that, cosh 2 x - sinh 2 x = 1 Given, sinh u = tan θ ⇒ cosh 2 u - tan 2 θ = 1 ⇒ cosh 2 u = 1 + tan 2 θ = sec 2 θ ⇒ cosh u = sec θ

Practice Trigonometric Ratios & Identities on Quantrex Academy →

More from Trigonometric Ratios & Identities

If x+ x= 1 2 and 0 < x < , then x= 2025If A and B are acute angles satisfying 3 ^2 A+2 ^2 B=4 and 3 A B = 2 B A , then A+2 B= 2025In a ABC , if ^2 ~B = A and 2 ^2 ~A =3 ^2 ~B , then the triangle is 202512 2 12 3 12 4 12 5 12 6 12 = 2025If ( 4 + )= ^3 ( 4 + ) , then ( + ) ( - )= 2025If A+B+C+D=2 , then A+ B+ C+ D= 2025(4 ^2 20 -1 ) (4 ^2 3 20 -1 ) (4 ^2 5 20 +1 ) (4 ^2 7 20 -1 ) (4 ^2 9 20 -1 )= 2025If A and B are the values such that (A+B) and (A-B) are not odd multiples of 2 and 2 (A+B)=3 (A-B) , then A A= 2025 Full Trigonometric Ratios & Identities list All AP EAMCET PYQs