d (2 - sin 0 cos 0 2 sin 0 1 | a Show that de cos? 0 2 - sin 0 b Hence find the maximum and minimum values of the expression in the interval cos 0 0 < 0 < , and state the values of 0 for which they occur.

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A: Given:  Let I=∫0π cos6 θ dθ To Find: To evaluate the given integral.

Q: Express the number -5 in the form R(cos(0) + i sin(0)) = Reil where R>0 and 0 <0 < 2T.

A: rewrite -5 as -5=-5+0i comparing with z=a+bi a=-5 , b=0 R=a2+b2=-52+02=25+0=25=5 now…

Q: use Theorem to find 31) F(A) = 4t? 5 Sin 34

A: To find the Laplace transform of the below function using the theorem. ft=4t2−5sin3t

Q: 6. Verify this identity: sec² (0)-1 sec² (0) = sin² (0) You must show all work! 7. Verify this…

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Q: Show that tan-1 ( 1/v ) = π/2 - tan-1 v, if v &gt; 0.

A: To prove tan-11v=π2-tan-1v, let  x=tan-1v then tan x=v1tan x=1v Since  tanx=1cotxcotx=1v ⋯ (1)

Q: 2270 d) V3 cosx + sin x = 0 (-2x, 0]

A: First, we rewrite the given equation in a more familiar form. The given equation…

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Q: Solve 2 tan" x-tan x-15=0 on the interval [0, z).

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Q: Prove that cos 20/sin20=2cos20 |

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Q: expand the formula for sin(A+B)

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Q: Q2/ A) Prove the identity Sin (A + B) + Sin (A - B ) = 2SinA cosB

A: Given: sinA+B+sinA-B=2 sin A cos B To Find: To prove the given inequality.

Q: Exercise 2.2.2 1. Cos [ sin- (22) ] 2. 2sin [ csc 3 Cet [sin- (특)+ tan' ()] 3.

A: Note: As per our guidelines, we are supposed to solve only first question. Kindly, Repost other…

Q: FIX) = sin(x+ cos x) -0.5=0 Find F(X), F(x)

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Q: da (cos x tan z) =

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