Math, asked by siddhantdeshpande05, 3 months ago

If 9 sin²θ + 5cos²θ = 6. Find tan θ

Answers

Answered by vipashyana1

0

Answer:

tanθ=1/√3

Step-by-step explanation:

9sin²θ+5cos²θ = 6

4sin²θ+5sin²θ+5cos²θ=6

4sin²θ+5(sin²θ+cos²θ)=6

4sin²θ+5(1)=6

4sin²θ+5=6

4sin²θ=6-5

4sin²θ=1

sin²θ=1/4

sinθ=(√1/4)

sinθ=1/2

sinθ=sin30°

θ=30°

tanθ=tan30°=1/√3

Previous Question

Next Question

Similar questions

English, 1 month ago

j) They have chosen my uncle as a secretary. k) Do not throw away the empty cans. l) We finished the cookies at one go. m) Did they tell you to be on time? n) No one has ever spoken to me in this manner. o) The sun drew patterns on the wall through the window. p) The new student sat next to me. q) People like my work. r) We saw you and him at the cinema. s) They promised us better...

Math, 1 month ago

Simplify laws of exponents p^3 ×p^-10...

English, 1 month ago

Philip was offered a position in a travelling circus (true/false)...

Math, 3 months ago

please tell me the answer in full...

Math, 3 months ago

Of Find the measure of ongle u in each of the following Liguewi 20 Q6 K 0...

Science, 8 months ago

Write the natural or manmade raw material of the following items. Mattress, glass vessel, bangle, chair, gunny bag, broom, knife, pen.

History, 8 months ago

What was the impact of second world war on the national movement...

History, 8 months ago

Herodotus is considered the father of history for all of the following reasons, except: a. He championed the practice of oral history, c. He wrote the history of Persian Wars. b. He tried to separate fact from legend. d. He interviewed people and looked at various sources. Please select the best answer from the choices provided A B C D...