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Popular >

3(cos(30))^2+2(sin(30))^2

Solution

3 (cos (3 0^{\circ}))^{2} + 2 (sin (3 0^{\circ}))^{2}

Solution

\frac{11}{4}

+1

Solution steps

3 (cos (3 0^{\circ}))^{2} + 2 (sin (3 0^{\circ}))^{2}

= 3 cos^{2} (3 0^{\circ}) + 2 sin^{2} (3 0^{\circ})

Use the following trivial identity:

cos (3 0^{\circ}) = \frac{3}{2}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

= 3 (\frac{3}{2})^{2} + 2 (\frac{1}{2})^{2}

Simplify

3 (\frac{3}{2})^{2} + 2 (\frac{1}{2})^{2} : \frac{11}{4}

= \frac{11}{4}

Popular Examples

0-6tan(30)+1/2*9.8*(6/(7.5*cos(30)))^2

0 - 6 tan (3 0^{\circ}) + \frac{1}{2} \cdot 9.8 \cdot (\frac{6}{7.5 \cdot cos ( 3 0 ^{\circ} )})^{2}

sec (4 2^{\circ})

(pi/3 cos(pi/3)-sin(pi/3))/((pi/3)^2)

\frac{\frac{π}{3} cos ( \frac{π}{3} ) - sin ( \frac{π}{3} )}{( \frac{π}{3} ) ^{2}}

arccos((sqrt(5))/2)

arccos (\frac{5}{2})

0.23 \cdot cos (62. 2^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 3(cos(30))^2+2(sin(30))^2 ?
The value of 3(cos(30))^2+2(sin(30))^2 is 11/4