The 8th term of an arithmetic progression is 12 and the 39th term is 43. 1. Find first term.  a. 7 b. 4 c. 5 d. 3

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A: To verify the identity: sin 2θ-tan θ=tan θ cos 2θ  

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Q: 12. Determine 0 for -360 s0<360". Round answers to the nearest whole degree. sin 0 = -0.6485 %3D

A: Given,           sinθ=-0.6485To find : Determine θ for -360°≤θ&lt;360°.

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A: Use the determinant to find the area of a triangle with vertices (0,0),(4.5).(5.-2)

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A: Note: As per our guidelines we are supposed to answer only one question if there are multiple questi...

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A: We can see that the all the sides are equal for both the triangle.

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Q: 16) 1+3cot2 0 = 4cot? 0 – 2 -

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A: The given problem is solved below in detail.

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Q: Write the equations of the following in terms of the secant function: 15. 16. 17. 31 2. スT -1 ース Wri...

A: Given Question:- Write the equation of the following in terms of secant function.

Q: 12. Determine 0 for -360 s0<360°. Round answers to the nearest whole degree. sin 0= -0.6485 %3D

A: topic- inverse trigonometric functions

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Q: If tan20 = cot(0+6°) where 20 and 0+6° are acute angles, what is the value of 0? *

A: This question is about trigonometry.  We will find here value of theta. 

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A: Given, tan(θ/2)+cot(θ/2)   Formula: 1+tan2 θ = sec2 θ Sin2θ=2sinθcosθ