Question

if tan theta=3/4 , then sin theta + cis theta option a.9/5 b.-5/9 c.-9/5 d.7/5​

Answer 1

Answer:

D. 7/5

Step-by-step explanation:

• First use tan = perpendicular / base
• Use Pythagoras theorum to find hypotenuse
• Use sin = perpendicular / hyp
• Use cos= base / hyp
• Add

Answer 2

Ans- (a) 9/5

Here Tan theta = 3/4

therefore P/B = 3/4

Therefore, H^2 = P^2+B^2 (Pythagoras theorem)

Therefore, H^2 = (3)^2+(4)^2

H^2=9+16

H^2= 25

H= √25

H= 5

Now,

Sin theta = P/H = 3/5

Cos theta = B/H = 4/5

Therefore, Sin theta+ Cos theta= 3/5+4/5

= 3+4/5=9/5