1. A 6 X C 8 C= ACTIVITY 1 sin A= cos A= tan A= csc A= sec A= cot A= sin B= cos B= tan B= csc B= sec B= cot B=

Q: 4. Establish the identity: sec ar - secr sin2 = cos LIC HS O6Y

A: Establish the identity

Q: (b) cosec 0 sec 0 cot A = 1+tan²0

A:

Q: snip

A:

Q: (a/sinA=b/sinB=c/sinC) prove the law of sines, by any means necessary.

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Q: cos q+ sin q dp dq Find for p = cos q

A:

Q: (c) cos 27 (d) tan

A: Cos(π/4)= 1/√2= 0.707106781

Q: 46 csc B tan B = tan B csc B sec B cot B

A:

Q: sin o dB - (sin 20 +B cos o) dộ = 0 O B = csc o (n sin o+ c) O 2B = sin o (In sin o + c) O B = sin o…

A:

Q: Cos (theta + 360°) a=cos theta

A: The objective of the question is to verify the trigonometric identity Cos(theta + 360°) = cos theta.…

Q: VI. Find the exact value of the expresssion: a) cos(sin=1) b) tan(sin¬'#)

A:

Q: nontrigonometric for csc(arccos u)=

A: To find csc(arccosu)

Q: sin? 0 1- cose (7) cos“ 0+2 cos0+1 1+ cos0

A: To prove ..

Q: 12) In a baseball diamond, the bases are 90 ft apart. The second baseman stands back from the base…

A: Given- The bases in a baseball diamond are 90 ft apart., if the first base,C,and the second base A.…

Q: csc x sec x = sec x + cscx cot x %3D

A: By taking left hand side and using trigonometric formula we prove left hand side equals to right…

Q: cot cos + tan sin (cosec+ sec )(1 - sin cos)

A: To prove that the given relation is true

Q: e csc 20 In (ecos 2 ) Ince cos CoS 20 28) Sin2 20 OP

A: Given integral is ∫ecsc2θlnecos2θsin22θdθ since lnex=x, so lnecos2θ=cos2θ The integral becomes…

Q: r cot VE-tan° V cosº /T VEsin JE dx

A: Given that: ∫cot3x-tan6x.cos6xx.sin3xdx

Q: Differentiate sin y = a

A:

Q: Express sin 0 cos 0 in terms of a if cot 0 = a

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Q: 35. Verify the following: sec sin 0.tan 0 sin e cos² e

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Q: S(csc r cot x + 6x5)dx: cos x + x6 + c – csc x + xº + c tan x + x6 +c sin x x6 +c cot x + x° +c

A: Explanation of the answer is as follows

Q: gex)=/ Sinx e dox 3D

A: Ans :  we will use integral by parts formula to solve this given integral.

Q: Evaluate (sin t)" cos t dt =sin't + C.

A:

Q: Differentiate y = csc x(x + cot x).

A: