Trigonometry Identities and equation

Trigonometry Identities and equation

prove that tan6.tan42.tan66.tan78=1

solve the equation for the solutions over the interval [0 degrees, 360 degrees) 6sec2xtanx=12tanx I am unsure of where to begin.

cos(3theta)=-1 solve for exact solutions over the interval [0,360 degrees] I am having trouble finding a place to start.

Proving identities

cos(2θ) = 1/√2 (1 divided by square root 2) 90° ≤ θ ≤ 180°

Find the exact value algebraically of sin(105°)

(sinx)/(cosx-sinx)=cotx+1, find x

Solve step by step to get the answer

The question is- In a △PQR, if 3sinP+4cosQ = 6 and 4sinQ+3cosP=1, then the angle R is equal to:

Hi, this is my first time using this site. So I have been staring at this trigonometric equation for a long while and looking for what it asks for. For what I know, I think I have to use sum of...

Sin(45-x)=cos(45+x) How to prove this identity?

I thought it'd be (1 / cos(θ)2) * (1 / tan(θ)) * (cos(θ) / 1) Which would get you cos(θ) / cos(θ)2 * tan(θ) And then coming out to 1 / cos(θ) *...

cos7y cos3y -sin 7y sin3y= ?

i need step by step soln plz thank u

Please help me solve this equation to better help me to understand trig Identites.

I am a little confused on this and it would be nice if someone could work through it so I can understand this problem

1) (cscx + cotx) / (tanx + sinx) = cotxcscx 2) (1/secx) -secx = -sinx 3) (1-tan^2x / 1-cot^2x) = -tan^2x

could someone explain finding cos(11pi/12) using Sum and difference Identities. it must use one of these: cos(α+β)=cos(α)cos(β)−sin(α)sin(β) or cos(α+β)=cos(α)cos(β)+sin(α)sin(β) Im...

=(sinx/cosx - sinx)/ (2sinx/cosx) = sinx-sinxcosx/cosx • cosx/2sinx = sinx (1-cosx)/2sinx = 1-cosx/2 now im lost help!!