Who developed the ‘analytical engine’?

If (sinθ+cosθ)/(sinθ-cosθ) = 2, then the value of sin⁴ θ is

If cos4B = sin(B - 10°), then find the measure of 'B'.

If tan 3.5θ x tan 6.5θ = 1 then the value of tan 5θ is

If secθ + tanθ = 3+√10, then the value of sinθ+cosθ is

If cos²α + cos²β = 2, then the value of tan⁴α + sin⁸β is

If 30sin⁴theta; + 45 cos⁴theta; = 18 . Then find the value of 216 cosec⁶theta; + 64 sec⁶

If cosec (2A + B) = 2 and cosec (A + B) = 1, find the value of (3A – B).

which of the following is equal to [(tan θ +secθ -1)/ (tanθ-secθ +1)]  

Find the value of the following:sin(36° + A) × cos(54° – A) + cos(36° + A) × sin(54°–A)