ΔABC is a right - angle triangle at B. If tan A = , then sin A + sin B + sin C will be equal to:

This question was previously asked in
SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 4)
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Answer (Detailed Solution Below)

Option 2 :
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SSC CGL Tier 1 2025 Full Test - 01
100 Qs. 200 Marks 60 Mins

Detailed Solution

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Given: 

tan A = 

Calculation:

As we know tan = P/B and sin θ = P/H

So, H = √(P2 + B2)

⇒ H = √(52 + 122)

⇒ H = √(25 + 144)

⇒ H = √169

⇒ H = 13

Now,

sin A + sin B + sin C

sin A + sin 90° + sin C

 + 1 + 

⇒ 

⇒ 

⇒ 

∴ The required answer is .

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