Question

 If sin x = cos y then what is the value of x+y ​

Answer 1

Step-by-step explanation:

sinx = cosy

sin45° = cos45° = 1

x = y = 45

x+y = 45+45 = 90, ans..

Answer 2

Required Answer:-

Given:

• sin(x) = cos(y)

To Find:

• x + y = ?

Solution:

We have,

➡ sin(x) = cos(y)

Using complementary angle formula, we can write that,

➡ cos(90° - x) = cos(y) [As sin(x) = cos(90° - x) and cos(x) = sin(90° - x)]

Comparing both sides, we get,

➡ 90° - x = y

Move x to the right side,.

➡ x + y = 90°

★ Hence, the value of x + y is 90°

Answer:

• x + y = 90°

Complementary Angle Formulae:

1. sin(90° - x) = cos(x) and cos(90° - x) = sin(x)
2. cosec(90° - x) = sec(x) and sec(90° - x) = cosec(x)
3. tan(90° - x) = cot(x) and cot(90° - x) = tan(x)