Simplifying sin (- 11 π / 3) + cos (12 π / 5) tan2 π - sec13 π / 5cot (- 5 π / 2)

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• 1. If sin (π 2 + θ) = 35, then cos (π - 2 θ) equals () A. 1225B. −1225C. −725D. 725
• 2. Verification: 1 / Sin & sup2; a + 1 / cos & sup2; A-1 / Tan & sup2; a = 2 + Tan & sup2; a
• 3. Given sin β + sin2 β = a, cos β + Cos2 β = B, prove (A & sup2; + B & sup2;) (A & sup2; + B & sup2; - 3) = 2B
• 4. It is known that sin α + sin β + sin γ = 0 and cos α + cos β + cos γ = 0. It is proved that cos ^ 2 α + cos ^ 2 β + cos ^ 2 γ is the fixed value
• 5. A = (COS α, sin α), B = (COS β, sin β), 0 < β < α < π if | A-B | = √ 2 prove a ⊥ B
• 6. It is known that sin θ + cos θ = 1 - √ 3 / 2 (0 1 - √ 3 / 2 is the numerator is 1-radical 3 and denominator is 2
• 7. Given cos α = 1 / 4, α∈ (- π / 2,0), find sin (α + π / 4)
• 8. If 0 ＜ α ＜ π, 2sin2 α = sin α, then cos (2 α - π / 2)=
• 9. Known 0
• 10. If α ∈ (0, π) is known, compare 2sin2 α with sin α / 1-cos α
• 11. If cos (α - Π / 6) + sin α = (4 / 5) √ 3 is known, then what is the value of sin (α + 7 Π / 6)?
• 12. It is known that cos (a-b / 2) = - 1 / 9, sin (a-2-b) = 2 / 3, and 0
• 13. If sin (π 3-A) = 14, then cos (π 3 + 2a) is equal to______ ．
• 14. Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)= Sin α + cos β = 1 / 5, cos α + sin β = 1 / 3, find sin (α + β)=
• 15. If (sin α + cos α) / (sin α - cos α) = 2, find the value of sin (α - 5 π) sin (3 π / 2 - α)
• 16. It is known that cos (4 / π + φ) = 4 / 5 and 3 π / 2
• 17. If cos (a + b) · cos (a-b) = 1 / 3, then the value of COS ^ 2 a-SiN ^ 2 B is?
• 18. If sin α + cos α = 13, then sin 2 (π 4 - α) = () A. 118B. 1718C. 89D. 29
• 19. It is known that sin α - sin β = 1 / 4, cos α + cos β = 1 / 3 I got the answer - 163 / 288, but the teacher gave me a little red fork
• 20. If cos (π / 6 - α) is known, then cos (5 π / 6 + α) × sin (2 π / 3 - α) =