Question : If $\sec \theta+\tan \theta=3$, then the value of $\sec \theta$ is:
Option 1: $\frac{4}{3}$
Option 2: $\frac{3}{4}$
Option 3: $\frac{3}{5}$
Option 4: $\frac{5}{3}$
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: $\frac{5}{3}$
Solution : Given: The value of the trigonometric equation is $\sec \theta+\tan \theta=3$. We know that if $\sec \theta+\tan \theta=x$. Then, $\sec \theta–\tan \theta=\frac{1}{x}$. $\sec \theta+\tan \theta=3$ (equation 1) ⇒ $\sec \theta–\tan \theta=\frac{1}{3}$ (equation 2) Adding equation 1 and equation 2, $\sec \theta+\tan \theta+\sec \theta–\tan \theta=3+\frac{1}{3}$ ⇒ $2\sec \theta=\frac{3\times 3 +1}{3}$ ⇒ $2\sec \theta=\frac{10}{3}$ ⇒ $\sec \theta=\frac{5}{3}$ Hence, the correct answer is $\frac{5}{3}$.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : If $\sec\theta-\tan\theta=\frac{1}{\sqrt3}$, then the value of $\sec\theta.\tan\theta$ is:
Question : If $\sec\theta+\tan\theta=5$, then find the value of $\tan\theta$.
Question : Find the value of $\sec\theta - \tan\theta$, if $\sec\theta + \tan\theta = \sqrt{5}$.
Question : If $\frac{\sec \theta-\tan \theta}{\sec \theta+\tan \theta}=\frac{1}{7}, \theta$ lies in first quadrant, then the value of $\frac{\operatorname{cosec} \theta+\cot ^2 \theta}{\operatorname{cosec} \theta-\cot ^2 \theta}$ is:
Question : Find the value of: $\sqrt{\frac{1 - \sin 3 \theta}{1 + \sin 3 \theta}}$
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile