Question

Value of sin(45 degrees + theta) * cos(15 degrees + theta) - cos(45 degrees + theta) sin(15 degrees + 0) is : (1) 1 (2) 3/2 (3) 1/2 (4) - 1/2​

Answer 1

Trigonometric function:

Explanation:

• In mathematics, trigonometric functions are real functions that relate an angle of a right-angled triangle to ratios of two side lengths.

• The trigonometric functions are Sine, Cosine, Tangent, Secant, Cosecant & Cotangent.

Find :

  sin (45° + θ) × cos (15° + θ) - cos (45 + θ) sin(15 +0)

= [(sin 45° × cosθ + cos 45° × sinθ ) (cos 15° × cosθ - sin 15° × sin θ )] - [(cos 45° × cosθ - sin 45° × sin θ) sin 15°]  

= [ ( 0.7071 cosθ + 0.7071 sinθ ) (0.9659 cosθ - 0.2588 sin θ) ] - [  ( 0.7071 cosθ - 0.7071 sinθ )  0.2588 ]

= 1

Answer 2

Answer:

1 / 2 is the answer

Explanation:

take value of Q as 15 degree

substitute it , and you'll have your answer ....