Question

What is the sum of trigonometric ratios Cos 16 and Cos 74?

Answer 1

Answer:

$\cos(16) + \cos(74) \\ sin(90 - 74) + \cos(74) \\ \sin(74) + \cos(74)$

Answer 2

Answer:

value of Cos 74+cos 16=-0.785920184

Step-by-step explanation:

sum of trigonometric ratios Cos 16 and Cos 74?

we know

$cosA+cosB=2cos\frac{A+B}{2} Cos\frac{A-B}{2}$      (for all A>B)

Cos 74+cos 16=

$2cos(\frac{74+16}{2} )cos(\frac{74-16}{2} )\\\\=2cos(45 )cos(29)\\\\=2(0.52532198881)(-0.74805752968)\\\\=-0.78592420184$

Hence value of Cos 74+cos 16=-0.78592(approx)