कक्षा 9–12Geometry & Topologyनियोजित

Trigonometry

Sine, cosine and tangent from right triangles to the unit circle, radian measure, graphs and identities, and the laws of sines and cosines.

math.geom.trigonometry

इस विषय का पाठ अभी लिखा नहीं गया है। नीचे दी गई रूपरेखा पाठ्यक्रम-मानचित्र का हिस्सा है और इसकी समीक्षा नहीं हुई है।

इस पर आधारित

18 अनिवार्य पूर्वापेक्षाएँ (बिल्कुल नीचे तक)

Define sine, cosine and tangent for acute angles via similar right triangles, and for all angles via the unit circle.
Convert between degrees and radians and sketch the graphs of sin, cos and tan.
Prove and apply sin²θ + cos²θ = 1, the addition formulas, and the laws of sines and cosines.

For an acute angle θ of a right triangle, sin θ = opposite/hypotenuse, cos θ = adjacent/hypotenuse and tan θ = opposite/adjacent.
On the unit circle, the point at angle θ measured anticlockwise from the positive x-axis is (cos θ, sin θ).
An angle of one radian subtends an arc equal in length to the radius; 2π radians equal 360°.

sin²θ + cos²θ = 1.
sin(α + β) = sin α cos β + cos α sin β and cos(α + β) = cos α cos β − sin α sin β.
Law of cosines: c² = a² + b² − 2ab cos C.
Law of sines: a/sin A = b/sin B = c/sin C.

Partial differential equations and Fourier series Periodic signals can be built from sines and cosines: the idea behind Fourier series.