Question

Write the expression sin 37∘ in terms of cosine.

Answer 1

Answer:

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Answer 2

Answer:

Let us draw a right angled triangle with 4 as adjacent side and 3 as opposite side. We know that the hypotenuse will be 5. Now the angles in this triangle will be 90°, 37° and 53°.

Let us draw a right angled triangle with 4 as adjacent side and 3 as opposite side. We know that the hypotenuse will be 5. Now the angles in this triangle will be 90°, 37° and 53°.Therefore sin 37 = 3/5 = 0.6

Let us draw a right angled triangle with 4 as adjacent side and 3 as opposite side. We know that the hypotenuse will be 5. Now the angles in this triangle will be 90°, 37° and 53°.Therefore sin 37 = 3/5 = 0.6(An easy method to remember this property of the above triangle, Cos 53 = 3/5 (pl note that the numbers are just reversed in division !) which is equal to Sin 37. (because as you know, Sin x = Cos (90 - x).