Question

2 cos A + sin A=2 then find cot A​

Answer 1

Answer:

Please mark me as brainest

Step-by-step explanation:

search-icon-header

Search for questions & chapters

search-icon-image

Question

Bookmark

If cosecA=2, then find the value of cotA+

1+cosA

sinA

Medium

Solution

verified

Verified by Toppr

Correct option is A)

cosecA=2 or sinA=

2

1

∴A=30

∘

∴cosA=

2

3

Now,

cotA+

1+cosA

sinA

=cot30

∘

+

1+cos30

∘

sin30

∘

=

3

+

1+

2

3

2

1

=

3

+

2+

3

1

2−

3

2−

3

=

3

+

4−3

2−

3

=

3

+2−

3

=2

Answer 2

The value of cot A is 0.5.

Given:

2 cos A + sin A=2

To Find:

Value of cot A.

Solution:

To find the value of cot A we will follow the following steps:

According to the properties of trigonometry:

$\frac{sinA \: }{cosA \: } = tanA \:$

$\frac{cosA \: }{sinA \: } = cotA \:$

Also,

$\frac{1}{cosA \: } = secA$

$\frac{1}{sinA} = cosecA$

According to the question:

2 cos A + sin A=2

To get the value of cot A we divide both sides by sin A and we get,

$2 \frac{cosA}{sinA} + \frac{sinA}{sinA} = 2$

$2 \frac{cosA}{sinA} + 1 = 2$

$2cotA = 2 - 1$

$2cotA = 1$

$cotA = \frac{1}{2} = 0.5$

Henceforth, The value of cot A is 0.5.

#SPJ3