Ifcos - cos h - - 1- then - -

Find the value β:[ cos ɑ cos h β = 1; cos h β = ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Properties of Determinants

Ifcos ɑ cos h...

Question

If $\cos ɑ \cos h β = 1,$ then $β = ?$

$\log s e c (ɑ / 2)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\log \tan ɑ$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$\log (s e c ɑ + \tan ɑ)$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$\log \sin (ɑ / 2)$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$\log (s e c ɑ + \tan ɑ)$

Find the value $β$ :
$\begin{array}{rcl} \cos ɑ \cos h β & = & 1 \\ \cos h β & = & s e c ɑ \\ β & = & \cos h^{- 1} (s e c ɑ) \\ = & \log (s e c ɑ + \sqrt{s e c^{2} ɑ - 1}) \\ = & l o g (s e c ɑ + t a n ɑ) \end{array}$
Hence, the correct answer is option (C).

Suggest Corrections

Similar questions

If α and β are different complex numbers with = 1, then find.

If the matrix $A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 3 & 0 & - 1 \end{matrix}]$ satisfies the equation $A^{20} + ɑ A^{19} + β A = [\begin{matrix} 1 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 1 \end{matrix}]$ for some real numbers $ɑ and β, then β - ɑ$ is equal to_________.

Let $L$ be a line obtained from the intersection of two planes $x + 2 y + z = 6$ and $y + 2 z = 4 .$ If point $P (ɑ, β, γ)$ is the foot of the perpendicular from $(3, 2, 1)$ on $L$ , then the value of $21 (ɑ + β + γ)$ equal:

Q. If

∣ ∣ ∣ ∣ ∣ \begin{matrix} α h + β g & g & α β + h γ α β + β f & f & h β + β γ α f + β γ & γ & g β + f γ \end{matrix} ∣ ∣ ∣ ∣ ∣ = λ ∣ ∣ ∣ ∣ ∣ \begin{matrix} α h + β g & α & h α β + β f & h & β α f + β γ & g & f \end{matrix} ∣ ∣ ∣ ∣ ∣, t h e n λ i s

Join BYJU'S Learning Program

Ifcosɑcoshβ=1, then β=?

The correct option is C log(secɑ+tanɑ)Find the value β:cosɑcoshβ=1coshβ=secɑβ=cosh-1(secɑ)=log(secɑ+sec2ɑ-1)=log(secɑ+tanɑ)Hence, the correct answer is option (C).

If $\cos ɑ \cos h β = 1,$ then $β = ?$