Question

Simplify 4^3sin^4(20)sin^2(70)-4sqrt(3)sin^3(20)sin(70)+3

Answer 1

Answer:

sin(70 degrees) is between sqrt(3)/2 and 1 because sin(60 degrees)=sqrt(3)/2. Sqrt (3) is approximately 1.73. So, sqrt (3)/2 is approximately 0.865. Note that sin(90 deg) = 1.

Step-by-step explanation:

So, sin30˚=12 and cos30˚=√32 .

sin 120° = sin( 180° − 120° ) = √3/2.

which is also equal to sin(75). hence, put x=25, solve for the cubic equation in sin(x) using sin(75) value, U get sin(25).

The cos of 70 degrees is 0.34202, the same as cos of 70 degrees in radians. To obtain 70 degrees in radian multiply 70° by / 180° = 7/18 . Cos 70 degrees = cos (7/18 × . Our results of cos70° have been rounded to five decimal places.

Hope this answer helps you to Gain Knowledge about Trigonometry .