Simplify the trigonometric expression

D

Step-by-step explanation:

The common multiple is (1 + sin(theta)) * (1 - sin(theta) )

Left fraction

Multiply top and bottom of the fraction by 1 - sin(theta)

Right Fraction

By the same method the right fraction gives.

Combine Left and Right Fractions.

The actual answer out of those given is 2*sec^2(theta) which is D

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

answer:     true

step-by-step explanation: