en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2cos(45+θ)

Solution

simplify

2 cos (4 5^{\circ} + θ)

Solution

2 cos (θ) - 2 sin (θ)

Solution steps

2 cos (4 5^{\circ} + θ)

Rewrite using trig identities

= 2 \cdot \frac{2 cos ( θ ) - 2 sin ( θ )}{2}

Simplify

2 \cdot \frac{2 cos ( θ ) - 2 sin ( θ )}{2} : 2 cos (θ) - 2 sin (θ)

= 2 cos (θ) - 2 sin (θ)

Popular Examples

simplify-sin(0.025x)+sin(-0.025x)simplify

- sin (0.025 x) + sin (- 0.025 x)

simplify sqrt(x+15)cos(x+4pi)simplify

x + 15 cos (x + 4 π)

simplify sin((10pi)/2+θ)simplify

sin (\frac{10 π}{2} + θ)

simplify sin(θ-270)simplify

sin (θ - 27 0^{\circ})

simplify sin(180+A)simplify

sin (18 0^{\circ} + A)

Frequently Asked Questions (FAQ)

What is 2cos(45+θ) ?
The solution to 2cos(45+θ) is sqrt(2)cos(θ)-sqrt(2)sin(θ)