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Question : If $\tan \theta=\frac{8}{15}$, then the value of $\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}$ is:

Option 1: $\frac{1}{5}$

Option 2: $\frac{3}{5}$

Option 3: $\frac{2}{5}$

Option 4: $\frac{4}{5}$

Team Careers360 13th Jan, 2024

Correct Answer: $\frac{3}{5}$


Solution :

$\tan \theta=\frac{8}{15}=\frac{\text{Perpendicular}}{\text{Base}}$
$\therefore$ Hypotenuse = $\sqrt{8^2+15^2}=\sqrt{289}= 17$
So, $\sin \theta=\frac{8}{17}$
$\sqrt{\frac{1-\sin \theta}{1+\sin \theta}}=\sqrt{\frac{1-\frac{8}{17}}{1+\frac{8}{17}}}=\sqrt{\frac{\frac{9}{17}}{\frac{25}{17}}}=\sqrt{\frac{9}{25}}=\frac{3}{5}$
Hence, the correct answer is $\frac{3}{5}$.

90 Views

which is the best engineering colleges in Bangalore

Tanya Gupta 19th Jan, 2024

Hello,


Engineering is one of the top fields with wide scope and vast number of opportunities. Engineering colleges in Bangalore are given below:


1) IIIT Bangalore

2) Ramaiah Institute of Technology

3) JAIN (Deemed-to-be-university), Faculty of Engineering and Technology

4) Dayananda Sagar College of Engineering

5) MVJ College of Engineering

14 Views

Question : Directions: If a mirror is placed on the line AB, then out of the option figures which figure will be the right image of the question figure?

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 17th Jan, 2024

Correct Answer:


Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection.
Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear

13 Views

I want lateral entry in civil btech can I ? I m doing diploma in civil engineering.om in 6th sem .

mjaisinghani62 27th Jan, 2024

Hello Aman

You can get lateral entry to b tech In civil engineering course after completing diploma in civil engineering.

After completing diploma , you will have to appear for entrance exam .


Eligibility for b tech course - you must have passed 10+2 exam with physics,  chemistry and mathematics

14 Views

entrance exam is compulsory for admission in btech college for computer science engineering

Tanya Gupta 24th Jan, 2024

Hello,

If you are looking forward to pursue B.tech in Computer Science from a reputed or from a top college with great facilities and high placements, then you will have to give entrance exams. To apply to colleges or universities in India, you need to score highly on entrance exams

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