Question

Without using trigonometric table, the value of cot θ tan (90 – θ) – sec (90 – θ) cosec θ + sin² 65° + sin² 25° + √3 tan 5°tan 85°.

Answer 1

SOLUTION IS IN THE ATTACHMENT

Trigonometry is the study of the relationship between the sides and angles of a triangle.

Two angles are said to be complementary of their sum is equal to 90° .
θ & (90° - θ) are complementary angles.

An equation involving trigonometry ratios of an angle is called is called a trigonometric  identity, if it is true for all values of the angles involved. For any acute angle θ, we have 3 identities.
i) sin² θ + cos² θ = 1 ,ii) 1 + tan² θ = sec² θ , iii) cot² θ +1 = cosec² θ.

HOPE THIS WILL HELP YOU...

Answer 2

Hey !!

YOUR ANSWER IS IN THE ATTACHMENT....

HOPE IT HELPS...

THANKS
^-^