Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ,where $C = \arctan ( a / b ) , a = 9 , b = 2 , B = 2$ to rewrite the trigonometric expression in the following form. $y = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ $a \sin B \theta + b \cos B \theta$
A) $\sqrt { 85 }$ $\cos ( 3 \theta - 1.3521 )$
B)9 $\cos ( 3 \theta + 1.3521 )$
C)9 $\cos ( 3 \theta - 1.3521 )$
D) $\sqrt { 85 }$ $\cos ( 3 \theta + 1.3521 )$
E)2 $\cos ( 3 \theta - 1.3521 )$

Question

Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ,where $C = \arctan ( a / b ) , a = 9 , b = 2 , B = 2$ to rewrite the trigonometric expression in the following form.​ $y = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ​ $a \sin B \theta + b \cos B \theta$ ​
A) $\sqrt { 85 }$ $\cos ( 3 \theta - 1.3521 )$
B)9 $\cos ( 3 \theta + 1.3521 )$
C)9 $\cos ( 3 \theta - 1.3521 )$
D) $\sqrt { 85 }$ $\cos ( 3 \theta + 1.3521 )$
E)2 $\cos ( 3 \theta - 1.3521 )$

Quizplus · Accepted Answer

The Answer of Use the formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ,where $C = \arctan ( a / b ) , a = 9 , b = 2 , B = 2$ to rewrite the trigonometric expression in the following form.​ $y = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$ ​ $a \sin B \theta + b \cos B \theta$ ​
A) $\sqrt { 85 }$ $\cos ( 3 \theta - 1.3521 )$
B)9 $\cos ( 3 \theta + 1.3521 )$
C)9 $\cos ( 3 \theta - 1.3521 )$
D) $\sqrt { 85 }$ $\cos ( 3 \theta + 1.3521 )$
E)2 $\cos ( 3 \theta - 1.3521 )$

Use the Formula asin⁡Bθ+bcos⁡Bθ=a2+b2cos⁡(Bθ−C)a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )asinBθ+bcosBθ=a2+b2​cos(Bθ−C)

Use the Formula $a \sin B \theta + b \cos B \theta = \sqrt { a ^ { 2 } + b ^ { 2 } } \cos ( B \theta - C )$