Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\sin \alpha+\sin \beta=\cos \alpha+\cos \beta=1$, then $\sin \alpha+\cos \alpha=$ ?

Options:

-1

0

1

2

Correct Answer:

1

Explanation:

We are given that ,

sin α + sin β = cos α + cos β = 1

Let us assume,

α= 90º  and β = 0º

Now,

sin α + cos α

= sin 90º + cos 90º 

= 1 + 0

= 1