Question

5 cos 23 × sin 67 + 5 sin 23 × cos 67

Answer 1

5cos23sin67 + 5sin23cos67
5cos(90-67)sin67+5sin(90-67)cos67
5sin67.sin67+5cos67.cos67
5(sin^2 67+cos^2 67)
5x1
5

Answer 2

The answer is "5".

Step-by-step explanation:

Given that,

5 cos 23 × sin 67 + 5 sin 23 × cos 67

5(cos 23 × sin 67+sin 23 × cos 67)

Sin(A+B)=sinA×cosB+cosA×sinB ....  formula

5(sin 67×cos 23+cos 67×sin 23)

5(sin(67+23))

5(sin (90))          

If 90° is angle then sin 90°=1

5×1=5

If 90 is not an angle then sin 90=0.8939966636

5×0.8939966636

4.469983318 is equal to 5.

Learn more:

• sin(a+b) formula: https://brainly.in/question/6131187