Question

If tan A =1/2 then find 1/2 sinA cosA *

2 अंक

A. 5

B. 1/3

C. 1/5

D. None of thes​

Answer 1

Answer:

1/5 is the correct answer

Answer 2

⛥ ᴀᴘᴘʀᴏᴘʀɪᴀᴛᴇ ǫᴜᴇsᴛɪᴏɴ:

• If tan A = ½ then, find ½ sinA cosA.

1. 5 ☐
2. ⅓ ☐
3. ⅕ ☑
4. None of these ☐

⛥ ʀᴇǫᴜɪʀᴇᴅ sᴏʟᴜᴛɪᴏɴ:

❍ Given :

• tan A = ½

➛ So, we Know Tan A = Perpendicular / Base

• Now, P = 1 ; B = 2.

______________________

Need to Find : Hypotenuse.

• (Hypotenuse)² = (Perpendicular)² + (Base)²

First, we find Hypotenuse -

➻ (Hypotenuse)² = ( 1 )² + ( 2 )²

➻ (Hypotenuse)² = 1 + 4

➻ (Hypotenuse)² = 5

➻ Hypotenuse = √5

• So, we know the hypotenuse is √5.

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Now, We find the value of :

• ½ sinA cosA

______________

Given :

• Hypotenuse ➮ √5
• Perpendicular ➮ 1
• Base ➮ 2

Formula :

• SinA ↪ Perpendicular / Hypotenuse
• CosA ↪Base / Hypotenuse

Now, putting the value in question :

≽ ½ ༝ ⅟√5 ༝ 2/√5

≽ ⅟√5 ༝ ⅟√5

≽ ⅕

• Hence, the correct answer is (c) ⅕.

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⚘ ᴋɴᴏᴡ ᴍᴏʀᴇ :

⍟ H ↣Hypotenuse

⍟ P ↣Perpendicular

⍟ B ↣Base

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@ℐᴛᴢӇᴀᴘᴘʏҨᴜᴇᴇɴ࿐