MATHEMATICS HIGH SCHOOL

Which of the following is an identity? A. secx tanx - cosx cotx = sinx B. (tanx + cotx)(sinx cosx) = 1 C. sin2x = 4 - 2cos2x D. cosx(2sinx + 1) = 0

Answers

Answer 1
Answer:

Using trigonometry property, the best option is B.

What is trigonometry?

Trigonometry deals with "the relationship between the sides and the angles of triangles".

According to the question,

[tan x + cot x] (sin x + cos x) = 1

[(sin x)/(cos x)+(cos x)/(sin x) ] (sin x cos x) = 1                  [tan x = (sin x)/(cos x) and cot x = (cos x)/(sin x)]

(sin x)/(cos x) (sin x cos x) + (cos x)/(sin x)(sin x cos x) =1    

sin^(2)x +cos^(2)x = 1                                [By cancellation law]

By the Pythagoras theorem, sin^(2)x +cos^(2)x = 1 .

Hence, using trigonometry property, the best option is B.

Learn more about trigonometry here

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Answer 2
Answer: letter B

(tanx + cotx)(sinxcosx) = 1
[(sinx/cosx) + (cosx/sinx)](sinxcosx) = 1
[(sinxcosx)(sinx/cosx) + (sinxcosx)(cosx/sinx)] = 1
[(sinx)^2 + (cosx)^2] = 1
*Pythagorean Identity*
1 = 1

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Answers

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Answers

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Answers

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