Question

Find the value of ∅
sin∅=cos∅

Answer 1

Answer:

45°

Explanation:

Sin 45° = cos 45°

$\large{\frac{1}{\sqrt{2}} = \frac{1}{\sqrt{2}}}$

Therefore, the value of ∅ is 45°

Justification:

Sin ∅ =>

sin 0° | sin 30° | sin 45° | sin 60° | sin 90°

0 | 1/2 | 1/√2 | √3/2 | 1

Cos ∅ =>

cos 0° | cos 30° | cos 45° | cos 60° | cos 90°

1 | √3/2 | 1/√2 | 1/2 | 0

From the above table,

Sin 45° = cos 45° = 1/√2

Therefore, the value of ∅ is 45°

Hence, justified.