Question

Find the cos A and tan B to four decimal places. URGENT

Answer 1

cos A is 0.8511 and tan B is 1.6

Step-by-step explanation:

Find the 3rd length or the hypotenuse.

Pythagoras theorem

$hypotenuse^{2}$ = $adjacent^{2}$ + $opposite^{2}$

$hypotenuse^{2}$ = $8^{2}$ + $5^{2}$

$hypotenuse^{2}$ = 64 + 25

hypotenuse = $\sqrt{89}$

hypotenuse = 9.4

a) Cos A

Data:

Adjacent = 8

Hypotenuse = 9.4

Formula:

Cos (Angle) = $\frac{adjacent}{hypotenuse}$

Cos A =  $\frac{8}{9.4}$

Cos A = 0.8511

A = $cos^{-1}$ (0.8511)

A = 31.7°

b) Tan B

Data:

Opposite = 8

Adjacent = 5

Formula:

Tan (Angle) = $\frac{opposite}{adjacent}$

Tan B = $\frac{8}{5}$

Tan B = 1.6

B =  $cos^{-1}$ (1.6)

B = 58°

Therefore, cos A is 0.8511 and tan B is 1.6.

Keyword: cos, tan

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