Question

Given secØ=13/12
Calculate the
1) sinØ
2) cosØ
3) tanØ

Give right answer​

Answer 1

Answer:

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Answer 2

Question

$\large \cal{Given}: \: \: \: \: \: \secθ = \large \frac{13}{12} \\ \\ \large \cal{calculate: \: \: \: 1) \sinθ \: \: \: \: \: \: 2) \cosθ \: \: \: \: \: \: \: 3) \tanθ}$

Answer

First we will find perpendicular,

$\implies \large \cal{ \: P = \sqrt{(13k) ^{2} - (12k)^{2} } } \\ \\\implies \large \cal{ \: P = \sqrt{169k ^{2} - 144k^{2} } } \\ \\\implies \large \cal{ \: P = \sqrt{25k^{2} } } \\ \\ \implies \large \cal \red {\boxed{ \: P = \sqrt{5k } }}$

Now we will find sinθ , cosθ , tanθ

$\implies \large \cal{ \sinθ = {\large\frac{P}{H}} = {\large\frac{5k}{13k}}\implies \large \red{ \frac{5}{13} }} \\ \\ \implies \large \cal{ \cosθ = {\large\frac{B}{H}} = {\large\frac{12k}{13k}}\implies \large\red{ \frac{12}{13} }} \\ \\ \implies \large \cal{ \tanθ = {\large\frac{P}{B}} = {\large\frac{5k}{12k}}\implies \large \red{ \frac{5}{12} }}$