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Is this a true identity tan(- ) = coto ? For which values of this identity...
Deduce trignometric identity 6B (tan A- tan B) Identity 6B: tan (A - B) = 1 + tan Atan B Using sin (A-B) = sin A cos B - cos A sin B and cos (A-B) = cos Acos B + sin A sin B: tan (A-B) sin (A-B) cos (A-B) II now divide all terms by cos A cos B: tan (A-B) = therefore: tan (A-B) = (tan A- tan B) 1 + tan A tan B
Verify that the equation is an identity. tan 4x - secºx = -2 tan ?x-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose each step. Factor the tan "x-secºx = »(tan?x + sec sec?x) difference of two squares tan?X + 2 tan x sec X + sec? = (Тут Apply a Pythagorean identity. tan?X + sec? tan?x-2 tan x sec X + sec?x Choose an identity, ar fy....
Verify that the equation is an identity. secºx- tan x=2 sec?x-1 To verify the identity, start with the more complicated side and transform it to look like the other side. Choose the correct transformations and transform the e each step Factor the ecºx - tanx= (sec?x+tan tan) two squares. sec difference of (Тут sec?x-2 sec x tan x + tan x sec?x+2 sec x tanx + tanx sec?x + tanx secx-tan? Choose an identity, ar 2. ary ans se y...
Verify the identity. 1- tanx 1-tan secx Factor the numerator (tanx-1)(1+tan %) (1 - tan²x) (1-tan?:) (1+tan :) (1 - tanºx) Simplify the fraction O 1+tanºx Use an identity to simplify the expression from the previous step 1-tan O sec? 0 1
5 4 If tan = and coto= find the exact value of sin(0-0). 9 Note: Be sure to enter EXACT values 1 You do not need to simplify any radicals. sin(0-0)- 2 If cosa = 0.369 and cos B 0.195 with both angles' terminal rays in Quadrant-l, find the values of (a) sin(a +B) = (b) sin(B-a) = Your answers should be accurate to 4 decimal places. Give exact answers 2 sin(a) = and cos(B) 4 5 Both angles terminate...
Verily the identity sec 0-cos 0-tan 0sin 0 To verily the identity, start with the more complicated side and transfomit to look ke the other side Choose the comect transformations and transform the expression at each step sec 0-cos 0 -cos0 tan Osin 0 Verify the identity sec 0-cos 0= tan 0 sin 0 To verify the identity, start with the more complicated side and transfo sec 0- cos 0 cos 0 Factor out the greatest common factor Apply the...
Verify that the equation is an identity. sin x cOS X secx + = sec?x-tan? CSC X Both sides of this identity look similarly complex. To verify the identity, start with the left side and simplify it. Then work with the right side and try to simplify it to the same result. Choose the correct transformations and transform the expression at each step COS X sin x secx CSC X The left-hand side is simplified enough now, so start working...
Use a half-angle identity to find the exact value of the following expression. tan 112.5° Which of the following is the correct value of tan 112.5°? OA. -1+ V3 OB. -1-12 O c. 1-2 OD. 1+12
Use a half-angle identity to find the exact value of the following expression. tan 15° Which of the following is the correct value of tan 15°? O A. -2-13 OB. -2+ V3 O C. 2+ 3 OD. 2-13
Verify that the equation is an identity. 1 1 Show that = 2 cota. seca - -1 seca+1 Statement Rule ]cosa 1 1 sin tan coto seca 1 seca + 1 sec CSCD D Select Rule Х s Validate