Sin a = 0,28, cos a = 0,96
To prepare for the university exam, let's work with the values of sin(a) and cos(a) that you provided.
sin(a) = 0.28 cos(a) = 0.96
We can use these values to find other trigonometric functions and properties.
Tan(a): We can find the value of tan(a) by dividing sin(a) by cos(a). tan(a) = sin(a) / cos(a) = 0.28 / 0.96 = 0.2917 (approx)
Cosec(a): Cosecant is the reciprocal of sine. We can find the value of cosec(a) by taking the reciprocal of sin(a). cosec(a) = 1 / sin(a) = 1 / 0.28 = 3.5714 (approx)
Sec(a): Secant is the reciprocal of cosine. We can find the value of sec(a) by taking the reciprocal of cos(a). sec(a) = 1 / cos(a) = 1 / 0.96 = 1.0417 (approx)
Cot(a): Cotangent is the reciprocal of tangent. We can find the value of cot(a) by taking the reciprocal of tan(a). cot(a) = 1 / tan(a) = 1 / 0.2917 = 3.4286 (approx)
Pythagorean Identity: The Pythagorean identity relates the three main trigonometric functions - sine, cosine, and tangent. sin^2(a) + cos^2(a) = 1 (0.28)^2 + (0.96)^2 ≈ 1
These calculations and identities should help you in solving problems related to trigonometry. Make sure to practice more problems and understand the concepts thoroughly for your exam preparation.
