SOLUTION: Use the basic identities to change the expression to one involving only sines and cosines. Then simplify to a basic trigonometric function. (sin x) (tan x+ cot x)

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Question 1013584: Use the basic identities to change the expression to one involving only sines and cosines. Then simplify to a basic trigonometric function.
(sin x) (tan x+ cot x)
- Thank You :)
Found 2 solutions by fractalier, MathTherapy:
Answer by fractalier(6550) (Show Source):
You can put this solution on YOUR website!
(sin x)(tan x + cot x) =
sin x(sin x/cos x + cos x/sin x) =
sin x((sin^2 x + cos^2 x)/sin x cos x) =
sin x(1/sin x cos x) =
1/cos x

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

Use the basic identities to change the expression to one involving only sines and cosines. Then simplify to a basic trigonometric function.
(sin x) (tan x+ cot x)
- Thank You :)

sin x * (tan x + cot x)
------------ Substituting and for tan x and cot x, respectively

----- Cancelling sin x in numerator and denominator

------- Replacing with 1

SOLUTION: Use the basic identities to change the expression to one involving only sines and cosines. Then simplify to a basic trigonometric function. (sin x) (tan x+ cot x) - Tha