Q) If A = 60° and B = 30°, verify that : sin (A + B) = sin A cos B + cos A sin B Ans: Here, let’s calculate the values of LHS & RHS one by one and check if it is verified. LHS = sin (A + B) = sin (60 […]
If A = 60° and B = 30°, verify that : sin (A + B) = sin A cos B + cos A sin B Read More »
Q) Prove that : tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + sec θ + cosec θ Ans: Here, let’s start by simplifying the LHS in given equation: LHS = = = = = = Now, we know that a3 – b3 = (a – b) (a2
Prove that : tan θ /(1 – cot θ) + cot θ / (1 – tan θ) = 1 + sec θ cosec θ Read More »
Q) If sin A = and cos B = , then find the value of (tan A + tan B) Ans: We To find the value of tan A + tan B, we need to find the value of tan A and tan B Step 1: We are given sin A = We know
If sin A = 3/5 and cos B = 12/13 , then find the value of (tan A + tan B) Read More »
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 »