2.9
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1Add the two equations: A*sin(x) + B*sin(x) = 2(A+B)*sin(x) = 2sin(x) = 2/(A+B)x = arcsin{2/(A+B)}That is the main solution. There may be others: depending on the range for x.
6.25
55 × sin 43 ÷ sin 23 ≈ 96
y = arcsin( cos 48 ); arcsin may be seen as sin-1 on your calculator.
2.9
The expression (\sin(3\alpha)) can be expanded using the triple angle formula for sine, which is (\sin(3\alpha) = 3\sin(\alpha) - 4\sin^3(\alpha)). This formula allows you to express (\sin(3\alpha)) in terms of (\sin(\alpha)).
Once way is to plot it out, and note the intersection points. One spot is 0.2225400023465516 Follow the Wolfram|Alpha link for more answers.
what is the value of sin 75 degree
sin(405) = square root of 2 divided by 2 which is about 0.7071067812
0.96593 (rounded)
If tan 3a is equal to sin cos 45 plus sin 30, then the value of a = 0.4.
1
sin 300 = -sin 60 = -sqrt(3)/2 you can get this because using the unit circle.
A*sin(x) + cos(x) = 1B*sin(x) - cos(x) = 1Add the two equations: A*sin(x) + B*sin(x) = 2(A+B)*sin(x) = 2sin(x) = 2/(A+B)x = arcsin{2/(A+B)}That is the main solution. There may be others: depending on the range for x.
The value of tan A is not clear from the question.However, sin A = sqrt[tan^2 A /(tan^2 A + 1)]
The value of sin(1) is 0.