11th Business Maths Weekly Test - 2 ( Trigonometry )

MABS Institution

11th Business Maths Weekly Test - 2 ( Trigonometry )-Aug 2020

Time : 1.30 Hours

Part - A

Generic 2 - Answer All Question

In any quadrilateral ABCD, prove that sin (A + B) + sin (C + D) = 0

Prove that \(sin^2\left(\frac{\pi}{8}+\frac x2\right)-sin^2\left(\frac{\pi}{8}-\frac x2\right)=\frac{1}{\sqrt2}\sin x.\)

Convert \(\frac{4\pi}{5}\) radians into degree

Find the quadrants in which the terminal sides of the following angles lie.
1325^o

Find the values of each of the following trigonometric ratios.
cos(–105^o)

Prove that \(2\tan^{-1}(x)=\sin^{-1}\left(\frac{2x}{1+x^2}\right)\)

Find the principal value of sin^-1(1/2)

Prove that \({ cos }^{ -1 }\left( \frac { 4 }{ 5 } \right) +{ cos }^{ -1 }\left( \frac { 3 }{ 5 } \right) ={ cos }^{ -1 }\left( \frac { 27 }{ 11 } \right) \)

Find the principal value of the following
\(\sin^{-1}\left(\frac{-1}{2}\right)\)

Find the degree measure corresponding to the following radian measure. \(\frac { 9\pi }{ 5 } \)

Part - B

Generic 5 - Answer All Question

Prove that cos² A +cos²(A+120^o)+ cos²(A-120^o)=\(\frac{3}{2}\)

Prove that cos²2x-cos²6x = sin 4x.sin 8x

Prove that \(\frac{\cos4x+\cos3x+\cos2x}{\sin4x+\sin3x+\sin2x}=\cot3x\)
Find the value of tan \(\left( {{\pi}\over{8}}\right).\)

If cosec A + sec A = cosec B + sec B, prove that cot\(\left( \frac { A+B }{ 2 } \right) \)=tanA tanB

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11th Business Maths Weekly Test - 2 ( Trigonometry )

MABS Institution

11th Business Maths Weekly Test - 2 ( Trigonometry )-Aug 2020

Part - A

Generic 2 - Answer All Question

In any quadrilateral ABCD, prove that sin (A + B) + sin (C + D) = 0

Prove that \(sin^2\left(\frac{\pi}{8}+\frac x2\right)-sin^2\left(\frac{\pi}{8}-\frac x2\right)=\frac{1}{\sqrt2}\sin x.\)

Convert \(\frac{4\pi}{5}\) radians into degree

Find the quadrants in which the terminal sides of the following angles lie. 1325o

Find the values of each of the following trigonometric ratios. cos(–105o)

Prove that \(2\tan^{-1}(x)=\sin^{-1}\left(\frac{2x}{1+x^2}\right)\)

Find the principal value of sin-1(1/2)

Prove that \({ cos }^{ -1 }\left( \frac { 4 }{ 5 } \right) +{ cos }^{ -1 }\left( \frac { 3 }{ 5 } \right) ={ cos }^{ -1 }\left( \frac { 27 }{ 11 } \right) \)

Find the principal value of the following \(\sin^{-1}\left(\frac{-1}{2}\right)\)

Find the degree measure corresponding to the following radian measure. \(\frac { 9\pi }{ 5 } \)

Part - B

Generic 5 - Answer All Question

Prove that cos2 A +cos2(A+120o)+ cos2(A-120o)=\(\frac{3}{2}\)

Prove that cos22x-cos26x = sin 4x.sin 8x

Prove that \(\frac{\cos4x+\cos3x+\cos2x}{\sin4x+\sin3x+\sin2x}=\cot3x\)

Find the value of tan \(\left( {{\pi}\over{8}}\right).\)

If cosec A + sec A = cosec B + sec B, prove that cot\(\left( \frac { A+B }{ 2 } \right) \)=tanA tanB

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Tamilnadu Stateboardszs - Class

Find the quadrants in which the terminal sides of the following angles lie.
1325^o

Find the values of each of the following trigonometric ratios.
cos(–105^o)

Find the principal value of sin^-1(1/2)

Find the principal value of the following
\(\sin^{-1}\left(\frac{-1}{2}\right)\)

Prove that cos² A +cos²(A+120^o)+ cos²(A-120^o)=\(\frac{3}{2}\)

Prove that cos²2x-cos²6x = sin 4x.sin 8x