Sin = contrast skew cos = neighborhood skew Tan = contrast skew can only be used in right triangles or all triangles

right angle

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1. Knowledge of triangles In the triangle ABC, BC = a, AC = B, ab = C. if the triangle ABC is not a right triangle, but an acute triangle or an obtuse triangle, please analogy Pythagorean theorem, try to guess the relationship between the sum of squares of a and B and the square of C, and explain the reason
2. If the distance from point P to the right focus on the hyperbola x213-y212 = 1 is equal to 13, then the distance from point P to the right collimator is () A. 135B. 13C. 5D. 513
3. Given that the distance from a point P on the hyperbola X & # 178 / 36-y & # 178 / 64 = 1 to a focus of the hyperbola is equal to 9, find the perimeter of △ pf1f2
4. Given Tan α = 2, find the value of Sin & sup2; α + 2Sin α cos α + 2?
5. If Tan α = 4, then 2Sin α & sup2; + sin α cos α + 3 =?
6. It is known that 2sin2 α + 2Sin α cos α 1 + Tan α = K (0 ＜ α＜ π 2)
7. Simplify (COS ^ 2 α - Sin ^ 2 β) / (sin ^ 2 α * sin ^ 2 β) - cot ^ 2 α cot ^ 2 β
8. Simplification of COS (a - π) cot (5 π - a) / sin (- 2 π - a) The answer is the square of - COTA,
9. Simplification of cos α + cot α / 1 + sin α
10. Simplification [cos (α - π) * cot (5 π - α)] / [sin (- 2 π - α)] ② (1 + cot & # 178; E) (E is the third quadrant angle)
11. Sin equals to contrast, cos equals to neighbor and Tan cot. how can I remember them well? I always forget them
12. In △ ABC, ∠ a + ∠ C = ∠ B, then △ ABC is______ A triangle
13. In the triangle ABC, M is the midpoint of B and C. The three (1) of the triangle AMC determine the shape of the triangle (2) find that the COSA edge is three consecutive integers and Tanc = cotb In the triangle ABC, M is the midpoint of B and C, and the three sides of AMC are three consecutive integers and Tanc = cotbam. 1) judge the shape of the triangle. (2) find out that the COSA side is three consecutive integers and Tanc = cot
14. Why is Tan ^ 2 [(B + C) / 2] = Tan ^ 2 (π - a) / 2 = cot ^ 2 (A / 2) in the acute triangle ABC
15. Mathematical triangle knowledge There is an angle of 30 ° in a right triangle. What's the relationship between the three sides
16. Basic knowledge of triangle The school has a piece of green space. First, I plan to start from the position indicated by point d (BD: DC = 2:1). I hope the green space on both sides of the small ditch is equal. Now D is not the midpoint of BC. How can I divide the green space into two equal blocks and pass through point d?
17. Simplifying a & sup2; SIN3 / π + B & sup2; Cos π / 6-absin π / 4cos π / 4tan π / 3 + abcos π / 6 = process
18. It is known that the angle α is an acute angle
19. Let α be an acute angle and prove: sin α + cos α
20. It is known that θ is a positive acute angle, and sin θ + cos θ is proved Sin θ + cos θ = sin (θ + 45 °) twice the root sign