MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Complementary Trigonometric Ratios

Prove thattan...

Question

Prove that
tan10 tan15 tan75 tan80=1

Open in App

Solution

Tan10 tan15 tan(90-75) tan (90-80)
= tan10 tan15 cot 15 cot10
as we know tan theta * cot theta = 1
so
tan10 cot10 tan15 cot 15
= 1

HOPE IT HELPS

Suggest Corrections

thumbs-up

62

Similar questions

Q. Prove the following trigonometric identities.

if cos A + cos²A = 1, prove that sin² A + sin⁴ A = 1

(- 1) \times (- 1) = 1

(1 + {cot}^{2} A) {sin}^{2} A = 1

(1 - S i n^{2} Θ) S e c^{2} Θ = 1

(A B) (A B)^{- 1} = 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Trigonometric Ratios of Complementary Angles

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Complementary Trigonometric Ratios

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon