how can we calculwte the value of

Cot 70 degree+4 cos 70 degree

oops, read the first as cos

I would just use my calculator

L.H.S= cos 70/sin 70+4 cos 70

= cos 70+4 cos 70 sin 70/sin 70
=cos 70+2 sin 40/sin 70
= cos 70+2 cos 50/sin 70
= cos 70+cos 50+cos 50/sin 70
= 2 cos 60 cos 10+cos 50/sin 70
= cos 10+cos 50/sin 70
= 2 cos 30 cos 20 /cos 20
= root 3

To calculate the value of the expression Cot 70° + 4 cos 70°, we need to follow a step-by-step process:

Step 1: Calculate the value of Cot 70°.
Cot 70° can be calculated by taking the reciprocal of the tangent of 70°. So, first, we find the tangent of 70° and then take its reciprocal.

Using a calculator or trigonometric tables, we find that the tangent of 70° is approximately 2.747477419.

Reciprocal of 2.747477419: 1 / 2.747477419 = 0.363970234.

Step 2: Calculate the value of 4 cos 70°.
First, we find the cosine of 70° using a calculator or trigonometric tables.

The cosine of 70° is approximately 0.342020143.

Now, multiply it by 4: 0.342020143 * 4 = 1.368080572.

Step 3: Add the calculated values from Step 1 and Step 2.
0.363970234 + 1.368080572 = 1.732050806.

Therefore, the value of Cot 70° + 4 cos 70° is approximately 1.732050806.

just find

5cos 70°