Question

for an acute angle∅, cos (∅)=3√5/7. Calculate the exact values of sin(∅) and tan (∅)

Answer 1

Answer:

cos theta= 3√5/7 (given), = adjacent side/ hypotenuse, (Opposite side)^2=7^2-(3√5)^2= 49-45=4. , (opposite side)^2= 4,Hence opposite side= 2. sin theta= opposite side/ hypotenuse= 2/7, tan theta = opposite side/ adjacent side= 2/3√5, Hence the values of sin theta, tan theta are 2/7, 2/3√5 respectively . Hope this helps you