First slide

Trigonometric Identities

Question

If $θ$ is not in 4th quadrant and $\tan θ = - 4 / 3$ then $5 \sin θ + 10 \cos θ + 9 \sec θ + 16 \cos e c θ + 4 \cot θ =$

Moderate

A

0
B

1
C

2
D

3

Solution

$θ$ lies in II quadrant, substitute the values
$\sin θ = \frac{4}{5}, \cos θ = - \frac{3}{5}, s e c θ = - \frac{5}{3}, \cos e c θ = \frac{5}{4}, c o t θ = - \frac{3}{4}$

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