How Do You Find Sin 75 Without A Calculator?

How do you solve cos 75?

Answer and Explanation: The value of cos(75°) is √6−√24 6 − 2 4 .

Notice that we can write 75° as 30° + 45°..

What is the exact value of sin 60?

The exact value of sin(60°) sin ( 60 ° ) is √32 .

How do you find an angle?

Find the angle of elevation of the plane from point A on the ground.Step 1 The two sides we know are Opposite (300) and Adjacent (400).Step 2 SOHCAHTOA tells us we must use Tangent.Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.Step 4 Find the angle from your calculator using tan-1

What is the reciprocal of cosine?

The secant is the reciprocal of the cosine. The cotangent is the reciprocal of the tangent.

How do you find the value of sin 75?

Sin(A+B) = Sin A Cos B + Cos A Sin B. Sin 75 = Sin ( 45 + 30) = Sin 45 Cos 30 + Cos 45 Sin 30. Sin 75 = (1 / √2) ( √3 / 2) + (1 / √2) ( 1 / 2) = [ √3 + 1] / 2√2.

What is the exact value of sin 15?

We will use the identity sin(x−y)=sinxcosy−sinycosx. We have that sin15∘=sin(45−30)∘=sin45∘cos30∘−cos45∘sin30∘=1√2√32−1√212=√2√32×2−√22×2=√6−√24. and so, since cosθ is positive between 0∘ and 90∘, cos15∘=√6+√24.

What is an exact value?

BSL Maths Glossary – Exact value – Definition Subject level: Credit. Definition. Exact value is where you cannot estimate the value you must be precise, eg; you can’t estimate something as being around about 5 centimetres; no you need an exact value such as 5.62.

How do you find cosine of an angle?

The cosine function, along with sine and tangent, is one of the three most common trigonometric functions. In any right triangle, the cosine of an angle is the length of the adjacent side (A) divided by the length of the hypotenuse (H). In a formula, it is written simply as ‘cos’.

What is formula for sine?

= 0.500. The sine function, along with cosine and tangent, is one of the three most common trigonometric functions. In any right triangle, the sine of an angle x is the length of the opposite side (O) divided by the length of the hypotenuse (H). In a formula, it is written as ‘sin’ without the ‘e’:

How do you find sin 240 without a calculator?

Use the subtraction angle identity for sine to find the value of sin(240). 30, 60, 180 and 270 are obvious angles on a unit circle. Addition angle identity for sine. = sin(180)cos(60) + cos(180)sin(60) works too.