Question

Complete the identities:

1:
(1-sin)/cos

2:
sec-(1/sec)

3:
csc(sin+cos)



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Answer 1

Answer:

See below

Step-by-step explanation:

Problem 1:

$\frac{1-sin\theta}{cos\theta}$

$\frac{1}{cos\theta}-\frac{sin\theta}{cos\theta}$

$sec\theta-tan\theta$

Problem 2:

$sec\theta-(\frac{1}{sec\theta})$

$\frac{sec^2\theta}{sec\theta}-\frac{1}{sec\theta}$

$\frac{sec^2\theta-1}{sec\theta}$

$\frac{tan^2\theta}{sec\theta}$

$\frac{\frac{sin^2\theta}{cos^2\theta}}{\frac{1}{\cos\theta} }$

$\frac{sin^2\theta cos\theta}{cos^2\theta}$

$\frac{sin^2\theta}{cos\theta}$

$\frac{sin\theta}{cos\theta}sin\theta$

$tan\theta sin\theta$

Problem 3:

$csc\theta(sin\theta+cos\theta)$

$\frac{1}{sin\theta}(sin\theta+cos\theta)$

$\frac{sin\theta}{sin\theta}+\frac{cos\theta}{sin\theta}$

$1+cot\theta$