Proving identities

Proving identities

I know this is with the sum-to-product identity, but I need help with the steps.

show that 1/(1-cos x) - 1/(1+cos x)=2cosec x cot x

4 sin x cos x - 2√3 sin x - 2√2 cos x +√6=0 interval 0≤x<2pi

I know how to get the answer, but for some reason, they want it in this format and I'm not sure how to do it this way.

Its two questions Prove if this is true or false 1-sinϴ • cosϴ •tanϴ=cos^2ϴ and cos^2ϴ • tanϴ= sinϴ

This is translated from a trigonometry problem in another language, I hope you understand it.

There are 2 possible answers I can choose from. Either Bounded or Continuous

This is my work. tanx = -2sinx sinx/cosx = -2sinx sinx = -2sinxcosx (multiply by cosx) 1 = -2cosx (divide...

If sin(x) = 1/4 and x is in quadrantI,find the exact values of the expressions without solving for x. (a) sin(2x) (b) cos(2x) (c) tan(2x)

Hello! I am having some trouble verifying a trig identity sin(4x)=4cos^3(x)sin(x)-4sin^3(x)cos(x)

Prove sec2x-1=sec2xsin2x, justify significant steps. (state identities used)

Given that sin(a)=2/3 and cos(b)=-1/5, with a and b both in the interval of pi - pi/2

Please help me answer the following question! I'm stuck! Prove that cos6ß + sin6ß = 1/4 + 3/4cos2ß I've tried simplifying out the LHS into (cos2ß)3 + (sin2ß)3,...

verify the trig identity plz help!!!

a) tan^2(theta)+cos^2(theta) b) 2tan(theta)cot(theta) c) 2cot^2(theta)-1 d) sec^2(theta)+csc^2(theta)

a) (sinx-tanx)/(cosx-cotx)=〖tan〗^2 x((cosx-1)/(sinx-1)) b) (cos^2x-sin^2x)/sinxcotx-cosxtanx)= cosx + sinx Please show work. Thank you so much!

Using Pythagoras, and making reference to a right angle triangle.

sinh x = (e^x-e^-x/2) and cosh x = (e^x + e^-x/2)

1) 2sec x =4.6 2) 3cos^2 x + cos x-2 =0 3) Sech x =0.554