Question

If CosecA=1.25 , then find the value of 3secA + 4cosA​

Answer 1

Cosec A = 1.25 = 5/4

Sin A = 4/5

So the opposite side and hypotenuse are in the ratio 4:5.

We know the Pythagorean triplets 3, 4 and 5. So the adjacent side will be 3.

So, Cos A = 3/5

Sec A = 5/3

Therefore, 3secA + 4cosA = 3*5/3 + 4*3/5 = 5 + 2.4 = 7.4

Answer 2

Step-by-step explanation:

cosecA=1.25

cosec^2A-cot^2A=1

(1.25)^2-1=cot^2A

1.5625-1=cot^2A

0.5625=cot^2A

cotA=0.75

tanA=1/cotA=1/0.75 =1.333

secA=cosecA/cotA=1.25/0.75=1.66

cosA=1/secA=1/1.66=0.602

3secA+4cosA

3(1.66)+4(0.602)

4.98+2.408

7.388

=7.4

I tried my best.i hope it helps you.....