100% Trigonometric Difference Identities Assignment

Find the exact value of cos (a - B) given sin (a) = -4/5 and cos (B) = -5/8 for a in Quadrant III and B in Quadrant II.

15 - 4 sqrt 39/40

What is the exact value of tan(105°).

-2 - sqrt 3

Find the exact value of cos(5 pi/6) cos (pi/12) + sin (5 pi/6) sin (pi/12)

-sqrt 2/2

Use the drop-down menus to complete the solution to the equation cos(pi/2 - x) = sqrt 3/2 for all possible values of x on the interval [0, 2pi].

0 1 sin 3 3

Complete the steps to derive the cofunction identity.

sin cos 1 0 cos

Write the given expression as a single trigonometric function. sin(42°)cos(17°) - cos(42°)sin(17°)

sin (25 degrees)

Find the exact value of sin(140°)cos(20°) - cos(140°)sin(20°).

sqrt 3/2

Write the given expression as a single trigonometric function. tan (3pi/7) - tan (2pi/5)/1 + tan(3 pi/7) tan (2pi/5).

tan (pi/35)

Solve tan(x-pi) - cos(x - 3pi/2) = 0, 0, x E [0, 2pi).

x = {0, pi}

Choose a justification for each step in the derivation of the sine difference identity. Step 1: Step 2: Distributive property Step 3: Associative property Step 4: Factoring out -1 Step 5: Step 6: Step 7:

Cofunction identity Sine difference identity Cofunction Identity Cosine function is even, sine function is odd.