Question : $\triangle ABC$ is a right triangle. If $\angle B=90^{\circ}$ and $\tan A=\frac{1}{\sqrt{2}}$, then the value of $\sin A \cos C + \cos A \sin C$ is:
Option 1: $1$
Option 2: $2$
Option 3: $\frac{2}{3}$
Option 4: $\frac{1}{3}$
Answer (1)
18th Jan, 2024
Correct Answer: $1$
Solution :
Given: $\triangle ABC$ is a right triangle with $\angle B=90^{\circ}$
So, $A + C = 90^{\circ}$
Now, $\sin A \cos C + \cos A \sin C=\sin (A + C)$
= $\sin 90^{\circ} $
= $1$
Hence, the correct answer is $1$.
Comments (0)
Related Questions
Know More about
Staff Selection Commission Combined Grad ...
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Get Updates Brochure
Thank You!
Your Staff Selection Commission Combined Graduate Level Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Application Date:
9 Dec, 2024
- 30 Dec, 2024
Admit Card Date:
23 Dec, 2024
- 5 Jan, 2025
Application Date:
2 Dec, 2024
- 31 Dec, 2024
Exam Date:
3 Jan, 2025
- 16 Jan, 2025
Application Date:
15 Dec, 2024
- 5 Jan, 2025
