Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • If <img alt="y=\cos ^{-1}\left(\frac{5 \cos x-12 \sin x}{13}\right), x \in\left(0, \frac{-}{

If y=\cos ^{-1}\left(\frac{5 \cos x-12 \sin x}{13}\right), x \in\left(0, \frac{-}{2}\right) \text {, then } \frac{d y}{d x} \text { is equal to }

Option: 1

1


Option: 2

-1


Option: 3

0


Option: 4

none of these

 


Answers (1)

best_answer

\begin{aligned} & y=\cos ^{-1}\left(\frac{5}{13} \cos x-\frac{12}{13} \sin x\right)=\cos ^{-1}(\cos \alpha \cos x-\sin \alpha \sin x) \\ & =\cos ^{-1}(\cos (x+\alpha))=x+\alpha \\ & \therefore \frac{d y}{d x}=1 \end{aligned}

Hence (A) is correct answer.

Posted by

mansi

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: NIT Warangal sees increasing demand for emerging fields; BTech cut-offs
anam-khan

BTech Admissions 2025 LIVE: SITEEE, JEE Mains, AEEE exam dates out; MET, SRMJEE registrations underway
anam-khan

JEE Main 2025: NIT Patna cut-offs for engineering programmes; know closing ranks for BTech admission

Latest Question