algebra

Simplify the expression:

sin theta + cos theta * cot theta

I'll use A for theta.

Cot A = sin A / cos A

Therefore:

sin A + (cos A * sin A / cos A) =

sin A + sin A =

2 sin A

I hope this will help.

in my algebra book, it says that Cot A=cos A/sin A, not sin A/cos A

That changes things a bit, doesn't it?

cot A = cos A / sin A

sin^2 A + cos^2 A = 1

Therefore:

sin A + (cos A * cos A / sin A) =

sin A + (cos^2A / sin A) =

Using sin A as a common denominator:

(sin^2 A / sin A) + (cos^2 A / sin A) =

(sin^2 A + cos^2 A) / sin A =

1 / sin A

Sorry for the error.

thank you!!

1. 👍 0
2. 👎 0
3. 👁 200

Similar Questions

1. Pre-Cal

Write the trigonometric expression in terms of sine and cosine, and then simplify. 1). (csc θ − sin θ)/(cos θ) ____________. 2). Simplify the trigonometric expression. (cos u + 1)/(sin u) + (sin u)/(1 + cos u) ______________.

asked by Amber on July 6, 2016
2. math

simplify the following expression sin(v+x)-sin(v-x)? Rewrite the expression as an algebraic expression in x. sin(2cos^-1x)

asked by Anonymous on July 12, 2012
3. trig

I'm trying to see if the teacher didn't give us the right problem or if I'm just not getting it. The problem is "re-write the expression without a fraction: 4/(1-sin x)". I can do it if the problem is sin squared x but I don't

asked by Priscilla on September 19, 2009
4. Precal

I do not understand how to do this problem ((sin^3 A + cos^3 A)/(sin A + cos A) ) = 1 - sin A cos A note that all the trig terms are closed right after there A's example sin A cos A = sin (A) cos (A) I wrote it out like this 0 = -

asked by Joe on January 14, 2010
5. pre calc

Use the sum-to-product formula to simplify the expression: If sin 52 + sin 8 = sin A, 0

asked by dylan on April 21, 2013
6. Math

Helle, i need help for simplify the expression: [( cos x) ( sin x) - ( sin x) ( - sin x)] / ( sin x) ²

asked by Sébastien on March 6, 2012
7. pre calc trig check my work please

sin x + cos x -------------- = ? sin x sin x cos x ----- + ----- = sin x sin x cos x/sin x = cot x this is what i got, the problem is we have a match the expression to the equation work sheet and this is not one of the answers.

asked by Anna on October 20, 2010
8. Trig

4. Asked to simplify the expression sin(180−è), Rory volunteered the following solution: sin(180−è) = sin 180−sin è, and, because sin 180 is zero, it follows that sin(180−è) is the same as −sin è. Is this answer

asked by sally on April 17, 2010
9. Algebra

1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√5-3√80 A.-5√5 B.-4√75 C.-5 D.4√-75 3. Simplify the expression: √21(√3+√14) A.9√7-49√6 B.2√6+√35

asked by GummyBears16 on April 5, 2016
10. pre-cal

Simplify the given expression........? (2sin2x)(cos6x) sin 2x and cos 6x can be expressed as a series of terms that involve sin x or cos x only, but the end result is not a simplification. sin 2x = 2 sinx cosx cos 6x = 32 cos^6 x

asked by ethan on May 17, 2007

More Similar Questions