Question

if cos theta equal to 3 by 5 find the value of 6 theta + cot theta by 5 cos theta + 4 tan theta​

Answer 1

think the ∆ as theta .cos ∆ =adjacent/ hypotnuse=3/5. find the opposite. to find opposite side we have to use the Pythagorean triplet formula,hyp square = opposite square+ adjacent square. 5 square=opposite side+3 square now opposite =5square- 3 square=25-9=16. opposite side =square root of the 16 is 4 now the opposite side =4. now take this ratios and substitute this in answer's. cos∆=adjacent/ hypotnuse and tan∆=opposite/adjacent. 6cos∆=3/5 , then 3/5/6 then 3/5×1/6=3/30 when we cancel that 1/10 now founded the cos 6 theta value and now we have find cos theta by 5cos theta . 3/5/5=3/5×1/5=3/25 . we found Ed the 5cos theta