Question

#Question 3

What is the value of the following?

(sin 24° + cos 66°) (sin 24° - cos 66)°

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Answer 1

Answer:

Zero

Step-by-step explanation:

We know that

cos (90° - θ) = sin θ 

sin (90° - θ) = cos θ 

(sine and cosine of complementary angles)

= (sin 24° + cos 66°) (sin 24° - cos 66°)

= (sin 24° + sin (90° - 66°)) (sin 24∘ - sin (90° - 66°)) 

= (sin 24° + sin 24°) (sin 24° - sin 24°) 

= (sin 24° + sin 24°) × 0

= 0

Thus, the answers will be 0.

Answer 2

Answer:

Solution :

Concept :

Cos ( 90° - 0) = sin 0

Sin ( 90° - 0) = cos 0

Calculation :

= ( sin 24° + cos 66°) (sin 24° - cos 66°)

= ( sin 24°+ sin ( 90° - 66°)) ( sin 24° - sin ( 90° - 66° ))

= ( sin 24° + sin 24°) ( sin 24° - sin 24°)

= ( sin 24° + sin 24°) × 0

= 0

Step-by-step explanation:

I hope this answer is correct.