/ trigonometry / By preeti Q) If Sin θ + cos θ = √3, then find the value of Sin θ . Cos θ Ans: Given that Sin θ + cos θ = √3Let’s square on both sides => (Sin θ + cos θ)^{2} = (√3)^{ 2}⇒ Sin^{2 }θ + Cos^{2} θ +2 Sin θ Cos θ = 3⇒ 1 +2 Sin θ Cos θ = 3⇒ 2 Sin θ Cos θ = 2⇒Sin θ Cos θ = 1

If Sin α = 1/√2 and Cot β = √3, then find the value of Cosec α + Cosec β. Q) If Sin α = 1/√2 and Cot β = √3, then find the value of Cosec α + Cosec β. Ans: Given that, Sin α…

Prove that, (tanθ + secθ-1)/(tanθ – secθ + 1) = (1 + sinθ)/cosθ Q) Prove that, Ans: 2 methods to solve this question: 1st Method: LHS = = Multiplying numerator…

Prove that (cosecA – sinA) (secA-cosA) = 1/(cotA+tanA) Q) Prove that (cosec A – sin A) (sec A- cos A) = Ans: Let’s start with LHS: (cosec A – sin A) (sec A- cos A)…