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Q) If tan θ + sec θ = m, then prove that sec θ = . Ans: We are given: tan θ + sec θ = m ………… (i) Next, we calculate value of tan θ + sec θ To do that, we multiply and divide (tan θ + sec θ) by (tan θ […]
If tan θ + sec θ = m, then prove that sec θ = (m2 + 1)/2m Read More »
Q) Prove that : tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + tan θ + cot θ Ans: Here, let’s start by simplifying the LHS in given equation: LHS = = = Let’s make the denominators equal: LHS = = = We know that a3
Prove that : tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + tan θ + cot θ Read More »
Q) Ans: Here, – – – Please do press “Heart” button if you liked the solution.
Q) If , then find the value of , where α is in IV quadrant. Ans: Since, We know that Now since, α is in IV quadrant, therefore value of will be negative only. Now, Therefore Please do press “Heart” button if you liked the solution.
Q) If cot θ = then evaluate that Ans: Please do press “Heart” button if you liked the solution.
If cotθ = 15/8, then evaluate (2 + 2 sinθ)(1 – sinθ)/(1 + cosθ)(2 – 2 cosθ) Read More »
Q) IF sec θ=(x + 1/4x) then prove that sec θ + tan θ = 2x or 1/2x Ans: Given When When Therefore, value of Please do press “Heart” button if you liked the solution.
IF Sec θ=(x+1/4x) then prove that secθ +tanθ =2x or 1/2x Read More »
Q) If sec θ + tan θ = p, obtain the values of sec θ, tan θ and sin θ in terms of p. Ans: sec θ + tan θ = p ………….. (i) ∵ sec2 θ – tan2 θ = 1 ∴ (sec θ + tan θ) (sec θ – tan θ) = 1 ∴ p (sec θ – tan θ)
If sec θ + tan θ = p, obtain the values of sec θ, tan θ and sin θ in terms of p. Read More »
Q) If sin θ = , prove that . Ans: Let’s start LHS: = = ∵ 1- cos2 θ= sin2 θ ∴ LHS = = = = = cot θ ∵ sin θ = ∴ cot θ = ∴ LHS = = RHS Hence Proved !
If sin θ = 3/4, prove that Root [(cosec 2θ − cot 2 θ} / (sec 2 θ − 1)] = √7 / 3 Read More »
Q) If = λ, then find the value of λ. Ans: Solving LHS LHS = ………… (i) We know that = 1 ∴ By substituting this value in equation (i) , we get: = = 1 Since RHS = λ Therefore λ = 1
If cosec2θ (1 + cosθ)(1 – cosθ) = λ, then find the value of λ. Read More »
Q) Prove that = 2 cosec A Ans: Let’s start from LHS LHS = = = = = = = 2 cosec A = RHS ……….. Hence, proved !
Prove that tan A / (1+ sec A) – tan A / (1- sec A) = 2 cosec A Read More »