Question

7 tan square theta -7 sec square theta​

Answer 1

=7tan²θ-7sec²θ

=7(tan²θ-sec²θ)

{as tan²θ-sec²θ=1}

=7(1)

=7

HOPE IT WILL HELP YOU.....

Answer 2

Answer:

$-7$ is the correct answer.

Step-by-step explanation:

Trigonometry also has connections with other areas of mathematics such as calculus, complex analysis, and algebraic geometry. It is a fundamental part of the high school and college mathematics curriculum, and is an important tool for scientists, engineers, and mathematicians in many different fields.

We can use the trigonometric identity tan²θ + 1 = sec²θ to rewrite sec²θ as tan²θ + 1 and simplify the expression:

$7 tan²θ - 7 sec²θ$

$= 7 tan²θ - 7 (tan²θ + 1) [using sec²θ = tan²θ + 1]$

$= 7 tan²θ - 7 tan²θ - 7\\= -7$

Therefore, 7 tan²θ - 7 sec²θ simplifies to -7.

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