Verify the identities. Show all work for full credit. 1) cos x +sin x tan x...
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
verify the following trigonometric identities.
cos y 1-sın y 5, sec y + tany= cos x-sin x -cosx 1-tanx sinx cosx-l 7. sin20+cos 2 θ+ cot 2a 1+tan 2 θ 8.
Verify the identity COS X + cos x tan?x sec x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step COS X + cos x tan = cos() (Do not simplify.) Apply a reciprocal identity Separate the quotient into two terms Apply the appropriate even - odd identity (Do not simplify) Factor out the greatest common factor, cos x...
show all work
15-18. Verify each identity. 15. tan x + cotx = sec X csc X 16. 1+sin cos B cos B 1-sin B 17. cosa a-sina a sin a cosa = cota - tan a
Use sum and difference identities to verify which of the
following are identities.
1) sin(Q+8) - 1-tan & tan 8 sin a 2-cot a cot 8 2) cos(a+8) - 2 sin a sin 8 Both the equations are identities. None of the equations are identities Only the first equation is an identity. Only the second equation is an identity.
Verify that the equation is an identity. sec x-cos x =sin x tan x To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the expression at each step. sec x-Cos x= -COS X = Use a common denominator to perform the subtraction = Separate the expression into two factors = sin x tan x
verify algebraically
cos(-x) -= sec x + tan x 1+ sin(-x) tan x + cotx=sec X CSC X
Verify the identity: cOS X + sin x tan x = sec x
Verify that the equation is an identity. sin (x-y) tan x- tany sin (x+y) tanx + tany Which of the following statements verifies that the equation is an identity? O A A tan x-tany tanx+ tany sin?(x - y) V1- cos? (x-y) 11 - cos? (x + y) sin(x - y) sin (x+y) O B. sin (x-y) sin cosy - cos x siny sin x- cos y tan x-tany sin (x+y) sin x cos y + cos x siny sin...
cos(x)-sin*(x) Verify the identity: cos2(x) (Hint: try factoring) = 1- tan?(x)