Question : If $\sin A=\frac{3}{5}$, calculate the value of $\cos A+\tan A-1$.
Option 1: $\frac{21}{20}$
Option 2: $\frac{11}{20}$
Option 3: $\frac{13}{20}$
Option 4: $2$
New: SSC CHSL Tier 2 answer key released | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
Correct Answer: $\frac{11}{20}$
Solution :
$\sin A=\frac{3}{5}$
$⇒\cos A = \sqrt{1-\sin^2A}$
$⇒\cos A = \sqrt{1-(\frac{3}{5})^2}$
$⇒\cos A = \sqrt{\frac{25-9}{25}}$
$⇒\cos A = \sqrt{\frac{16}{25}}$
$⇒\cos A = \frac{4}{5}$
We know, $\tan A = \frac{\sin A}{\cos A}$
$⇒\tan A = \frac{\frac{3}{5}}{\frac{4}{5}}$
$⇒\tan A = \frac{3}{4}$
So, $\cos A+\tan A-1 = \frac{4}{5} + \frac{3}{4} -1 = \frac{16+15-20}{20}= \frac{11}{20}$
Hence, the correct answer is $\frac{11}{20}$.
Related Questions
Know More about
Staff Selection Commission Combined High ...
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Get Updates Brochure
Your Staff Selection Commission Combined Higher Secondary Level Exam brochure has been successfully mailed to your registered email id “”.
