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http://www.freemathvideos.com In this video series I show you how to simplify trigonometric expressions by using identities. Trigonometric identities help u... Detailed step by step solution for cot(pi/2-x)cos(x)
Cot Pi 2 X Cosx

Cot Pi 2 X Cosx
Algebra. Expand the Trigonometric Expression cot (pi/2-x) cot ( π 2 − x) cot ( π 2 - x) Apply the difference of angles identity. cot(π 2)cot(x)+1 cot(x)−cot(π 2) cot ( π 2) cot ( x) + 1 cot ( x) - cot ( π 2) Simplify the numerator. Tap for more steps... 1 cot(x)−cot(π 2) 1 cot ( x) - cot ( π 2) Expand the Trigonometric Expression cot(pi/2-x)cos(x) Step 1. Apply the difference of angles identity. Step 2. Simplify the numerator. Tap for more steps... Step 2.1. The exact value of is . Step 2.2. Rewrite in terms of sines and cosines. Step 2.3. Multiply by . Step 2.4. Add and . Step 3.
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Cot Pi 2 X CosxHere are a few examples I have prepared: a) Simplify: tanx/cscx xx secx. Apply the quotient identity tantheta = sintheta/costheta and the reciprocal identities csctheta = 1/sintheta and sectheta = 1/costheta. = (sinx/cosx)/ (1/sinx) xx 1/cosx. =sinx/cosx xx sinx/1 xx 1/cosx. =sin^2x/cos^2x. Sin x P cos pi 2 x sin pi 2 x cos x Property of complementary arcs cos pi 2 x sin x sin pi 2 x cos x Therefor P sin x cos x cos x
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