We know the following: csc(x) = 1/sin(x) sec(x) = 1/cos(x) cot(x) = 1/tan(x) We can rewrite our original expression as: sin(x) * cos(x) *...
We know from the pythagorean theorem: sin^2(x) + cos^2(x) = 1 Subtract sin^2(x) from each side and we get: cos^2(x) = 1 - sin^2(x) We can...
cscx/secx =cotx This is true Remember that: csc(x) = 1/sin(x) sec(x) = 1/cos(x) So we have: 1/sin(x)/1/cos(x) cos(x)/sin(x) cot(x)
sin(x)cot(x) We know that cot(x) = cos(x)/sin(x), so we rewrite this as: sin(x)cos(x)/sin(x) The sin(x) terms cancel and we get: cos(x)
cscx-cotx*cosx=sinx A few transformations we can make based on trig identities: csc(x) = 1/sin(x) cot(x) = cos(x)/sin(x) So we have: 1/sin(x) -...
cot(θ)=12 and θ is in Quadrant I, what is sin(θ)? cot(θ) = cos(θ)/sin(θ) 12 = cos(θ)/sin(θ) Cross multiply: 12sin(θ) = cos(θ) Divide each side...
4 divided by sin60 degrees. We can write as 4/sin(60). Using our trigonometry calculator, we see sin(60) = sqrt(3)/2. So we have 4/sqrt(3)/2....
Express cos4θ and sin4θ in terms of sines and cosines of multiples of θ. Using a trignometric identity: cos (2θ) = cos^2(θ) - sin^2(θ) Since 4θ...
Find an angle (theta) with 0<(theta)<360° or 0<(theta)<(2*pi) that has the same sine value as 80°. The sine is positive in Quadrant I and...
calculate cos(x) given tan(x)=8/15 tan(x) = sin(x)/cos(x) sin(x)/cos(x) = 8/15 Cross multiply: 15sin(x) = 8cos(x) Divide each side by 8 cos(x)...
Separate names with a comma.