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

If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Question 7 Ex...

Question

Question 7
Express $s i n 67^{\circ} + c o s 75^{\circ}$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ}$ .

Open in App

Solution

$s i n 67^{\circ} + c o s 75^{\circ}$
$= s i n (90^{\circ} - 23^{\circ}) + c o s (90^{\circ} - 15^{\circ})$
$= c o s 23^{\circ} + s i n 15^{\circ}$

Suggest Corrections

Similar questions

Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.

Q. Question 7
Express

s i n 67^{\circ} + c o s 75^{\circ}

in terms of trigonometric ratios of angles between

0^{\circ}

and

45^{\circ}

Q. Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

(i) sin 59° + cos 56°
(ii) tan 65° + cot 49°
(iii) sec 76° + cosec 52°
(iv) cos 78° + sec 78°
(v) cosec 54° + sin 72°
(vi) cot 85° + cos 75°
(vii) sin 67° + cos 75°

Q. Express the following in terms of trigonometric ratios of angles lying between

0^{\circ}

and

45^{\circ}

cot 85^{\circ} + cos 75^{\circ}

Express each of the following in terms of trigonometric ratios of angles lying between 0° and 45°.

(i) sin67° + cos75°
(ii) cot65° + tan49°
(iii) sec78° + cosec56°
(iv) cosec54° + sin72°

Join BYJU'S Learning Program

Explore more

If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

Standard IX Mathematics

Join BYJU'S Learning Program

Question 7 Express sin67∘+cos75∘ in terms of trigonometric ratios of angles between 0∘ and 45∘.

sin67∘+cos75∘ =sin(90∘−23∘)+cos(90∘−15∘) =cos23∘+sin15∘

Question 7
Express $s i n 67^{\circ} + c o s 75^{\circ}$ in terms of trigonometric ratios of angles between $0^{\circ}$ and $45^{\circ}$ .

$s i n 67^{\circ} + c o s 75^{\circ}$
$= s i n (90^{\circ} - 23^{\circ}) + c o s (90^{\circ} - 15^{\circ})$
$= c o s 23^{\circ} + s i n 15^{\circ}$