Question

answer it correctly
class 10​

Answer 1

Answer:

Cosa = root 7/4 and tana = 3/root 7

Answer 2

Step-by-step explanation:

Given

• ↠sinA = 3/4

We need to calculate

• ↠cosA
• ↠tanA

Solution

Let in right angle ️ABC , ∠B is 90° and ∠C is θ

As given sinθ = 3/4

• ⇛ AC / BC = 3/4

Therefore

• ⇛AC = 3
• ⇛BC = 4

We will find AB by using Pythagoras theorem

⇒ (Hypotension) = (Height)² + (Base)²

⇒AC² = AB² + BC²

• Submitting values

⇒(4)² = AB² + (3)²

• opening brackets

⇒4 × 4 = AB² + 3 × 3

• Multiplying

⇒ 16 = AB² + 9

• transferring sides

⇒AB² = 16 - 9

• Subtracting

⇒AB² = 7

• Squaring both the sides

⇒AB = √7

━━━━━━✦✗✦━━━━━━━

Now finding cosA and tanA

↬ cosA = AB/AC

• putting value

↬cosA = √7/4

Now tanA

↬ tanA = BC/AB

• putting value

↬tanA = 3/√7

Therefore cosA = √7/4 and tanA = 3/√7

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