Question

If sin x + cos y = 1 and sin x - cos y = 0, find the value of 'x'.​

Answer 1

Step-by-step explanation:

just simply add the two equations and you will get the answer

Answer 2

$\huge\pink{\boxed{\textbf{\textsf{Question↷}}}}$

✏️ If sin x + cos y = 1 and sin x - cos y = 0, find the value of 'x'.

$\huge\pink{\boxed{\textbf{\textsf{Solution↷}}}}$

✏️ Given :-

★ sin x + cos y = 1 & sin x - cos y = 0

✏️ To Find :-

★ x

✏️ Answer :-

★ x = 30°

✏️ Rationale :-

★ We have,

sin x + cos y = 1 ....→(1)

And

sin x - cos y = 0 ....→(2)

Now,

Using the method of elimination, adding (1) and (2), we get,

sin x + cos y + (sin x - cos y) = 1 + 0

⇒sin x + cos y + sin x - cos y = 1

⇒2sin x = 1

⇒sin x = 1/2

⇒sin x = sin 30°

⇒x = 30°

The required value of x !

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I hope this helps! :)