In matlab thank you a and b 10. Two trigonometric identities are given by:(a) cos²x - sin²x = 1−2 sin² x (b)\ b ]tan x1sin x-2 tan x cos x-2For each part, verify that the identity is correct by calculating the values ofthe left and right sides of the equation, substituting x = π/10.

Answered: 10. Two trigonometric identities are…

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In matlab thank you a and b

10. Two trigonometric identities are given by:
(a) cos²x - sin²x = 1−2 sin² x (b)
\ b ]
tan x
1
sin x-2 tan x cos x-2
For each part, verify that the identity is correct by calculating the values of
the left and right sides of the equation, substituting x = π/10.

Expert Solution

Step 1

(a)
cos^2(pi/10)-sin(pi/10)=1-2sin^2(pi/10)
1-sin^2(pi/10)-sin(pi/10)=1-2sin^2(pi/10)
1-sin(pi/10)=1-sin^2(pi/10)-2sin^2(pi/10)
1-sin(pi/10)=3sin^2(pi/10)
sin(pi/10)=sin^2(pi/10)
(b)
tan(pi/10)*sin(pi/10)-2tan(pi/10)*cos(pi/10)-2=0
sin(pi/10)-2cos(pi/10)-2tan(pi/10)=0
sin(pi/10)-2cos(pi/10)=2tan(pi/10)

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