Question

for what value of 0, if sin0=cos0​

Answer 1

Answer:

A is 45°

Step-by-step explanation:

• sinA=cosA
• sinA/cosA=1
• tanA=1
• then from the trigonometric table we have,A=45°
• thank u

Answer 2

Correct Question :-

Find the value of θ , if sinθ = cosθ .

Solution :-

Given ,

sinθ = cosθ

Method 1 :-

As we know that

• sin45° = 1/√2
• cos45° = 1/√2

Here , the value of θ in sin45° & cos45° is equal and the values 1/√2 & 1/√2 are equal .

So ,

• θ = 45°

Method 2 :-

→ sinθ = cosθ

It can be written as

→ sinθ = 1 × cosθ

→ sinθ/cosθ = 1

→ tanθ = 1

[ °.° sinA/cosA = tanA ]

Substituting 1 = tan45°

→ tanθ = tan45°

→ θ = 45°

Hence , θ = 45°

More information :-

Trigonometric identities ,

• sin²A + cos²A = 1
• sec²A - tan²A = 1
• cosec²A - cot²A = 1