If sin θ - cos θ =

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin θ - cos θ = 0, then what is the value of sin² θ + tan² θ ?

Options:

1/2

4/5

3/2

Correct Answer:

3/2

Explanation:

We are given that ,

sin θ - cos θ = 0

sin θ = cos θ

{ using concept , Iff A + B = 90º then sinA = cosB }

So, θ + θ = 90º

2 θ = 90^º

θ = 45^º

Now,

sin²θ + tan²θ

= sin²45^º + tan²45^º

= \(\frac{1}{2}\) + 1

= \(\frac{3}{2}\)