Question

simplify (1+tan²) (1-sin) (1+sin)
please answer as soon as possible! ​

Answer 1

Answer:

1

Step-by-step explanation:

(1+tan^2)(1^2-sin^2)

sec^2×(1-sin^2)

sec^2×cos^2

1/cos^2 ×cos^2

cos^2/cos^2

=1

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Answer 2

Answer:

$= (1 + { \tan}^{2} )( {1}^{2} - { \sin}^{2} ) \\ = (1 + \frac{ { \sin }^{2} }{ { \cos}^{2} } )( {1}^{2} - { \sin}^{2} \\ = ( \frac{ { \cos }^{2} + { \sin}^{2} }{ { \cos }^{2} } )( { \cos }^{2} ) \\ = ( \frac{1}{ { \cos }^{2} } )( { \cos }^{2} ) \\ = 1$

answer = 1