Question

*sin 50⁰ = cos.*

1️⃣ 50⁰
2️⃣ 90⁰
3️⃣ 0⁰
4️⃣ 40⁰​

Answer 1

Given : sin 50⁰ = cos.x

To Find  : Value of x

1️⃣ 50⁰

2️⃣ 90⁰

3️⃣ 0⁰

4️⃣ 40⁰​

Solution:

Cos x = Sin ( 90 - x)

=> sin 50⁰ = cos.x

=> sin 50⁰ =  Sin ( 90 - x)

Equate both

=> 50° = 90 - x

=> x = 40°

sin 50⁰ = cos.40°

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Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

sin 50° = cos ___

1. 50°

2. 90°

3. 0°

4. 40°

FORMULA TO BE IMPLEMENTED

For any angle θ

$\sf{ \sin( {90}^{ \circ} - \theta) = \cos \theta }$

EVALUATION

$\sf{ \sin {50}^{ \circ} }$

$\sf{ = \sin ( {90}^{ \circ} - {40}^{ \circ} ) }$

$\sf{ = \cos {40}^{ \circ} }$

$\boxed{ \sf{ \sin {50}^{ \circ} = \cos {40}^{ \circ} }}$

FINAL ANSWER

Hence the correct option is 4. 40°

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