Question

6) If Cosa = 7/
25
,

find sin x , tan x ,

Cosec x ,

Sec x & Cot × .​

Answer 1

Step-by-step explanation:

Solution :

\cos A=\frac{7}{25}cosA=

25

7

Using Pythagorean theorem, H^2=P^2+B^2H

2

=P

2

+B

2

As we know, \cos A=\frac{B}{H}cosA=

H

B

Here, B is the base B=7

H is the hypotenuse H=25

P is the perpendicular

Substitute in formula,

(25)^2=P^2+(7)^2(25)

2

=P

2

+(7)

2

625=P^2+49625=P

2

+49

P^2=576P

2

=576

P=\sqrt{576}P=

576

P=24P=24

Now,

1) \sin A=\frac{P}{H}sinA=

H

P

\Rightarrow \sin A=\frac{24}{25}⇒sinA=

25

24

2) \csc A=\frac{H}{P}cscA=

P

H

\Rightarrow \csc A=\frac{25}{24}⇒cscA=

24

25