PROOF =- - bc (1 – cos A) = - Use the Law of Cosines to prove that a-b+c a+b-c 2 2

Q: Prove that eax (a cos bx +b sin bx) + C. ax cos bxdx %3D a2 + b2

A: ∫eaxcosbxdx=eaxacosbx+bsinbxa2+b2+C

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: 5. Prove: tan²xsin²x = tan²x – sin²x

A:

Q: 8. If sinx = , x is in quadrant II, then the value of cos2x is %3D 17 b) -161 30 161 353 a) 289 c)…

A: Given : sin x = 817 x is in quadrant II.     To find the value of cos 2x.

Q: PROVE: 1+ sin a 1- sin a CSc a + 1 CSc a

A:

Q: Q2/ A) Prove the identity Sin (A + B) + Sin (A - B) = 2SinA cosB %3D

A:

Q: Verify the identity. (sec ² 0+1) (- sin² 0+1) = 2-sin ²0 20 rch Which of the following four…

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Q: B)Prove (cose + i sine)" = cosno + i sin no

A:

Q: Use trig identities to rewrite 1 1 f(v) 1 Cos 3v 1+ cos 3v - 1. f(v) = Csc 3v cot 3v 2. f(v) = 2…

A: Please refer the attached image for complete solution.

Q: (cos x +i sin a)" = cos nx +i sin na -1)

A:

Q: (co0s(-)) +- (cos(- 1. COS because 6. COS 6.

A:

Q: ∫0π/2[√(cos5t) sin5tdt] Hint: intergration by substitution

A: Rewrite the equation Apply substitution u=√(cos5t)

Q: SinA (1+cos A) = 2cosecA (+cos A) sin A

A:

Q: Multily    (a) (a+b)  2 (cos theta - sin theta ) 2

A:

Q: Cos2 π/3 + sin2 π/3

A:

Q: + jsin 12 12 .2 +jsin - Simplify 3 cos cos

A:

Q: Expand and simplify  (cos theta - sin theta ) 2

A: Given: cosθ-sinθ2 We have to expand and simplify the given expression.

Q: What is the equivalent expression of sin ( - x)+ sin ( +x)? O a) cos (z) O b) - 2 c) d) V2 cos (z)…

A: The given expression is sinπ4-x+sinπ4+x

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: Cos ax COs ax Q: Prove that dx = ze", a 2 0.(or) Evaluate x² +1 x² +1

A:

Q: | sin2xdx = %3D cos2x A O +C cos2x B O +C 2 cos2x+CCO -2 cos2x+CDO

A: ∫sin(2x)dx= -(cos2x)/2+C

Q: seelA-B)= cor(A+B) cos A-sin B

A: The objective is to prove, sec(A-B)=cos(A+B)cos2A-sin2B It is known that,…

Q: উদাহরণ-9. যদি tan c হয় তবে প্রমাণ কর যে %3D - a

A: You need to find the values of sine and cosine of from the given value in the question.