Simplify the given expression:
sec²t csct
csc²t sect
Simplify the giving expression:
(sinx + cosx)(sinx – cosx) + 1
sin²x
Prove the identity:
Sin t = 1 + cost
1-cost
sint
Prove the identity:
(sinx + cosx)² - sin2x = 1
Prove the identity:
tanx + cotx = secxcscx
Prove the identity:
(1-cos²x)cscx = sinx
Prove the identity:
1 + secx = cscx
tanx + sinx
Using an addition or subtraction identity find the
exact value of:
Cos 7π/12
Using an addition or subtraction identity, find
the exact value of the following:
Sinπ/12
Rewrite the following in terms of sin x and cos x.
(hint: use addition or subtraction identity)
Sin (π/2 +x)
Simplify the given expression:
Cos(x+y) – cos(x-y)
If x is in Q1 and y is in Q2, sinx = 24/25, and siny =4/5
find the exact value of sin(x+y) and tan(x+y).
Use the half angle identities to solve the
following:
Cos 7π/8
Use the half angle identities to solve:
Tan 5π/8
Write each as a sum or difference:
cos2xcos4x
Write each expression as a product:
Sin9x – sin5x
For the given, find the sin2x, cos2x, tan2x
Cos x = -⅓ for π/2 < x < π