Question

if cos A = 21/29 find the value of sin A + tan A

Answer 1

cos 21/29
b/h p?
p^=h^-b^
29^-21^
√400
20
sin+tan=
20/29+20/21=1000/609
may be right

Answer 2

Answer:  $\frac{1000}{609}$

Step-by-step explanation:

Here,

$cos A = \frac{21}{29}$

$\implies sin A = \sqrt{1-cos^2A}=\sqrt{1-(\frac{21}{29})^2}$

$=\sqrt{1-\frac{441}{841}}$

$=\sqrt{\frac{841-441}{841}}$

$=\sqrt{\frac{400}{841}$

$=\frac{20}{29}$

$\implies sin A = \frac{20}{29}$

Now,

$tanA = \frac{sinA}{cos A} =\frac{20/29}{21/29}=\frac{20}{21}$

Thus,

$sinA + tan A = \frac{20}{29}+\frac{20}{21}=\frac{420+580}{609}=\frac{1000}{609}$